x^2=64x

Solution for x^2=64x equation:

Simplifying
x2 = 64x

Solving
x2 = 64x

Solving for variable 'x'.

Reorder the terms:
-64x + x2 = 64x + -64x

Combine like terms: 64x + -64x = 0
-64x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-64 + x) = 0

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 '(-64 + x)' equal to zero and attempt to solve:

Simplifying
-64 + x = 0

Solving
-64 + x = 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 + x = 0 + 64

Combine like terms: -64 + 64 = 0
0 + x = 0 + 64
x = 0 + 64

Combine like terms: 0 + 64 = 64
x = 64

Simplifying
x = 64
Solution
x = {0, 64}