-336x^3+288x=0

Solution for -336x^3+288x=0 equation:

Simplifying
-336x3 + 288x = 0

Reorder the terms:
288x + -336x3 = 0

Solving
288x + -336x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '48x'.
48x(6 + -7x2) = 0

Ignore the factor 48.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(6 + -7x2)' equal to zero and attempt to solve:

Simplifying
6 + -7x2 = 0

Solving
6 + -7x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -7x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x2 = 0 + -6
-7x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-7x2 = -6

Divide each side by '-7'.
x2 = 0.8571428571

Simplifying
x2 = 0.8571428571

Take the square root of each side:
x = {-0.9258201, 0.9258201}
Solution
x = {0, -0.9258201, 0.9258201}