To find the x-intercept(s), substitute in for and solve for .

Solve the equation.

Rewrite the equation as .

Add to both sides of the equation.

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

Factor the left side of the equation.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Since both terms are perfect cubes, factor using the difference of cubes formula, where and .

Factor.

Simplify.

Move to the left of .

Raise to the power of .

Remove unnecessary parentheses.

Divide each term by and simplify.

Divide each term in by .

Simplify .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Expand by multiplying each term in the first expression by each term in the second expression.

Simplify terms.

Simplify each term.

Multiply by by adding the exponents.

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Move .

Multiply by .

Move to the left of .

Multiply by .

Multiply by .

Combine the opposite terms in .

Subtract from .

Add and .

Subtract from .

Add and .

Divide by .

Add to both sides of the equation.

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

Factor the left side of the equation.

Rewrite as .

Since both terms are perfect cubes, factor using the difference of cubes formula, where and .

Simplify.

Move to the left of .

Raise to the power of .

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 .

Use the quadratic formula to find the solutions.

Substitute the values , , and into the quadratic formula and solve for .

Simplify.

Simplify the numerator.

Raise to the power of .

Multiply by .

Multiply by .

Subtract from .

Rewrite as .

Rewrite as .

Rewrite as .

Rewrite as .

Factor out of .

Rewrite as .

Pull terms out from under the radical.

Move to the left of .

Multiply by .

Simplify .

Simplify the expression to solve for the portion of the .

Simplify the numerator.

Raise to the power of .

Multiply by .

Multiply by .

Subtract from .

Rewrite as .

Rewrite as .

Rewrite as .

Rewrite as .

Factor out of .

Rewrite as .

Pull terms out from under the radical.

Move to the left of .

Multiply by .

Simplify .

Change the to .

Simplify the expression to solve for the portion of the .

Simplify the numerator.

Raise to the power of .

Multiply by .

Multiply by .

Subtract from .

Rewrite as .

Rewrite as .

Rewrite as .

Rewrite as .

Factor out of .

Rewrite as .

Pull terms out from under the radical.

Move to the left of .

Multiply by .

Simplify .

Change the to .

The final answer is the combination of both solutions.

The final solution is all the values that make true.

x-intercept(s) in point form.

x-intercept(s):

x-intercept(s):

To find the y-intercept(s), substitute in for and solve for .

Solve the equation.

Remove parentheses.

Simplify .

Simplify each term.

Raising to any positive power yields .

Multiply by .

Subtract from .

y-intercept(s) in point form.

y-intercept(s):

y-intercept(s):

List the intersections.

x-intercept(s):

y-intercept(s):

Find the X and Y Intercepts y=3x^3-24