Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

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.

Remove unnecessary parentheses.

Divide each term in by .

Cancel the common factor.

Divide by .

Divide by .

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 .

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

Simplify .

Rewrite as .

Pull terms out from under the radical, assuming real numbers.

Set the next factor equal to .

Add to both sides of the equation.

Set the next factor equal to .

Subtract from both sides of the equation.

The final solution is all the values that make true.

Solve by Factoring 3x^5+6x^4-72x^3=0