x^2=32x

Solution for x^2=32x equation:

Simplifying
x2 = 32x

Solving
x2 = 32x

Solving for variable 'x'.

Reorder the terms:
-32x + x2 = 32x + -32x

Combine like terms: 32x + -32x = 0
-32x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-32 + 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 '(-32 + x)' equal to zero and attempt to solve:

Simplifying
-32 + x = 0

Solving
-32 + x = 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 + x = 0 + 32

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

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

Simplifying
x = 32
Solution
x = {0, 32}