x^2=90x

Solution for x^2=90x equation:

Simplifying
x2 = 90x

Solving
x2 = 90x

Solving for variable 'x'.

Reorder the terms:
-90x + x2 = 90x + -90x

Combine like terms: 90x + -90x = 0
-90x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-90 + 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 '(-90 + x)' equal to zero and attempt to solve:

Simplifying
-90 + x = 0

Solving
-90 + x = 0

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

Add '90' to each side of the equation.
-90 + 90 + x = 0 + 90

Combine like terms: -90 + 90 = 0
0 + x = 0 + 90
x = 0 + 90

Combine like terms: 0 + 90 = 90
x = 90

Simplifying
x = 90
Solution
x = {0, 90}