18x^3-32x=32x

Solution for 18x^3-32x=32x equation:

Simplifying
18x3 + -32x = 32x

Reorder the terms:
-32x + 18x3 = 32x

Solving
-32x + 18x3 = 32x

Solving for variable 'x'.

Reorder the terms:
-32x + -32x + 18x3 = 32x + -32x

Combine like terms: -32x + -32x = -64x
-64x + 18x3 = 32x + -32x

Combine like terms: 32x + -32x = 0
-64x + 18x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-32 + 9x2) = 0

Ignore the factor 2.
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 '(-32 + 9x2)' equal to zero and attempt to solve:

Simplifying
-32 + 9x2 = 0

Solving
-32 + 9x2 = 0

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

Add '32' to each side of the equation.
-32 + 32 + 9x2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 9x2 = 0 + 32
9x2 = 0 + 32

Combine like terms: 0 + 32 = 32
9x2 = 32

Divide each side by '9'.
x2 = 3.555555556

Simplifying
x2 = 3.555555556

Take the square root of each side:
x = {-1.885618083, 1.885618083}
Solution
x = {0, -1.885618083, 1.885618083}