2x^5-64x^2=

Solution for 2x^5-64x^2= equation:

Simplifying
2x5 + -64x2 = 0

Reorder the terms:
-64x2 + 2x5 = 0

Solving
-64x2 + 2x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-32 + x3) = 0

Ignore the factor 2.
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 '(-32 + x3)' equal to zero and attempt to solve:

Simplifying
-32 + x3 = 0

Solving
-32 + x3 = 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 + x3 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + x3 = 0 + 32
x3 = 0 + 32

Combine like terms: 0 + 32 = 32
x3 = 32

Simplifying
x3 = 32

The solution to this equation could not be determined.

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