x*x=64*x+x

Solution for x*x=64*x+x equation:

Simplifying
x * x = 64x + x

Multiply x * x
x2 = 64x + x

Combine like terms: 64x + x = 65x
x2 = 65x

Solving
x2 = 65x

Solving for variable 'x'.

Reorder the terms:
-65x + x2 = 65x + -65x

Combine like terms: 65x + -65x = 0
-65x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-65 + 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 '(-65 + x)' equal to zero and attempt to solve:

Simplifying
-65 + x = 0

Solving
-65 + x = 0

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

Add '65' to each side of the equation.
-65 + 65 + x = 0 + 65

Combine like terms: -65 + 65 = 0
0 + x = 0 + 65
x = 0 + 65

Combine like terms: 0 + 65 = 65
x = 65

Simplifying
x = 65
Solution
x = {0, 65}