u^2=9u

Solution for u^2=9u equation:

Simplifying
u2 = 9u

Solving
u2 = 9u

Solving for variable 'u'.

Reorder the terms:
-9u + u2 = 9u + -9u

Combine like terms: 9u + -9u = 0
-9u + u2 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(-9 + u) = 0

Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0
Subproblem 2
Set the factor '(-9 + u)' equal to zero and attempt to solve:

Simplifying
-9 + u = 0

Solving
-9 + u = 0

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

Add '9' to each side of the equation.
-9 + 9 + u = 0 + 9

Combine like terms: -9 + 9 = 0
0 + u = 0 + 9
u = 0 + 9

Combine like terms: 0 + 9 = 9
u = 9

Simplifying
u = 9
Solution
u = {0, 9}