64x^2-x^5=0

Solution for 64x^2-x^5=0 equation:

Simplifying
64x2 + -1x5 = 0

Solving
64x2 + -1x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(64 + -1x3) = 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 '(64 + -1x3)' equal to zero and attempt to solve:

Simplifying
64 + -1x3 = 0

Solving
64 + -1x3 = 0

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

Add '-64' to each side of the equation.
64 + -64 + -1x3 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -1x3 = 0 + -64
-1x3 = 0 + -64

Combine like terms: 0 + -64 = -64
-1x3 = -64

Divide each side by '-1'.
x3 = 64

Simplifying
x3 = 64

The solution to this equation could not be determined.

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