x^7-256x^2=

Solution for x^7-256x^2= equation:

Simplifying
x7 + -256x2 = 0

Reorder the terms:
-256x2 + x7 = 0

Solving
-256x2 + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-256 + x5) = 0

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 '(-256 + x5)' equal to zero and attempt to solve:

Simplifying
-256 + x5 = 0

Solving
-256 + x5 = 0

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

Add '256' to each side of the equation.
-256 + 256 + x5 = 0 + 256

Combine like terms: -256 + 256 = 0
0 + x5 = 0 + 256
x5 = 0 + 256

Combine like terms: 0 + 256 = 256
x5 = 256

Simplifying
x5 = 256

The solution to this equation could not be determined.

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