u^2=10u

Solution for u^2=10u equation:

Simplifying
u2 = 10u

Solving
u2 = 10u

Solving for variable 'u'.

Reorder the terms:
-10u + u2 = 10u + -10u

Combine like terms: 10u + -10u = 0
-10u + u2 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(-10 + 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 '(-10 + u)' equal to zero and attempt to solve:

Simplifying
-10 + u = 0

Solving
-10 + u = 0

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

Add '10' to each side of the equation.
-10 + 10 + u = 0 + 10

Combine like terms: -10 + 10 = 0
0 + u = 0 + 10
u = 0 + 10

Combine like terms: 0 + 10 = 10
u = 10

Simplifying
u = 10
Solution
u = {0, 10}