32x^5-108x^2=

Solution for 32x^5-108x^2= equation:

Simplifying
32x5 + -108x2 = 0

Reorder the terms:
-108x2 + 32x5 = 0

Solving
-108x2 + 32x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-27 + 8x3) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-27 + 8x3)' equal to zero and attempt to solve:

Simplifying
-27 + 8x3 = 0

Solving
-27 + 8x3 = 0

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

Add '27' to each side of the equation.
-27 + 27 + 8x3 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 8x3 = 0 + 27
8x3 = 0 + 27

Combine like terms: 0 + 27 = 27
8x3 = 27

Divide each side by '8'.
x3 = 3.375

Simplifying
x3 = 3.375

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}