Move to the left side of the equation by subtracting it from both sides.

To write as a fraction with a common denominator, multiply by .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Multiply and .

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Simplify the expression.

Multiply by .

Subtract from .

To write as a fraction with a common denominator, multiply by .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Multiply and .

Multiply and .

Reorder the factors of .

Reorder the factors of .

Combine the numerators over the common denominator.

Simplify the numerator.

Apply the distributive property.

Multiply by .

Apply the distributive property.

Multiply by .

Subtract from .

Reorder terms.

Factor using the AC method.

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

To write as a fraction with a common denominator, multiply by .

To write as a fraction with a common denominator, multiply by .

Multiply and .

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Multiply by .

Subtract from .

To write as a fraction with a common denominator, multiply by .

To write as a fraction with a common denominator, multiply by .

Multiply and .

Multiply and .

Reorder the factors of .

Reorder the factors of .

Combine the numerators over the common denominator.

Apply the distributive property.

Multiply by .

Apply the distributive property.

Multiply by .

Subtract from .

Reorder terms.

Factor using the AC method.

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

Since contain both numbers and variables, there are four steps to find the LCM. Find LCM for the numeric, variable, and compound variable parts. Then, multiply them all together.

Steps to find the LCM for are:

1. Find the LCM for the numeric part .

2. Find the LCM for the variable part .

3. Find the LCM for the compound variable part .

4. Multiply each LCM together.

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

Since has no factors besides and .

is a prime number

The number is not a prime number because it only has one positive factor, which is itself.

Not prime

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.

The factor for is itself.

occurs time.

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.

The factor for is itself.

occurs time.

The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.

The Least Common Multiple of some numbers is the smallest number that the numbers are factors of.

Multiply each term in by in order to remove all the denominators from the equation.

Simplify .

Reduce the expression by cancelling the common factors.

Rewrite using the commutative property of multiplication.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply by .

Move to the left of .

Rewrite as .

Multiply by .

Subtract from .

Simplify .

Apply the distributive property.

Multiply by by adding the exponents.

Move .

Multiply by .

Multiply by .

Multiply by .

Factor using the AC method.

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .

Set the first factor equal to and solve.

Set the first factor equal to .

Add to both sides of the equation.

Set the next factor equal to and solve.

Set the next factor equal to .

Add to both sides of the equation.

The final solution is all the values that make true.

Solve by Factoring 1/2+1/y=6/(y+3)