Subtract from both sides of the equation.

Divide each term in by .

Simplify each term.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

Move the negative in front of the fraction.

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of .

Add the term to each side of the equation.

Simplify each term.

Use the power rule to distribute the exponent.

Apply the product rule to .

Apply the product rule to .

Raise to the power of .

Multiply by .

Raise to the power of .

Raise to the power of .

Simplify .

Simplify each term.

Use the power rule to distribute the exponent.

Apply the product rule to .

Apply the product rule to .

Raise to the power of .

Multiply by .

Raise to the power of .

Raise to the power of .

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 by .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Add and .

Move the negative in front of the fraction.

Factor the perfect trinomial square into .

Take the square root of each side of the equation to set up the solution for

Remove the perfect root factor under the radical to solve for .

Simplify the right side of the equation.

Rewrite as .

Rewrite as .

Factor the perfect power out of .

Factor the perfect power out of .

Rearrange the fraction .

Rewrite as .

Pull terms out from under the radical.

Combine and .

Remove parentheses.

Move all terms not containing to the right side of the equation.

Add to both sides of the equation.

Reorder and .

Solve by Completing the Square 2x^2-5x+67=0