# Find the Roots (Zeros) 324x^3-144x

Set equal to .
Solve for .
Factor the left side of the equation.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Rewrite as .
Factor.
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Remove unnecessary parentheses.
Divide each term by and simplify.
Divide each term in by .
Simplify .
Simplify terms.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify by multiplying through.
Apply the distributive property.
Reorder.
Rewrite using the commutative property of multiplication.
Move to the left of .
Multiply by by adding the exponents.
Move .
Multiply by .
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.
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Divide by .
Factor the left side of the equation.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Rewrite as .
Factor.
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Remove unnecessary parentheses.
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 .
Set the next factor equal to and solve.
Set the next factor equal to .
Subtract from both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Set the next factor equal to and solve.
Set the next factor equal to .
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
The final solution is all the values that make true.
Find the Roots (Zeros) 324x^3-144x