u^2=7u

Solution for u^2=7u equation:

Simplifying
u2 = 7u

Solving
u2 = 7u

Solving for variable 'u'.

Reorder the terms:
-7u + u2 = 7u + -7u

Combine like terms: 7u + -7u = 0
-7u + u2 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(-7 + 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 '(-7 + u)' equal to zero and attempt to solve:

Simplifying
-7 + u = 0

Solving
-7 + u = 0

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

Add '7' to each side of the equation.
-7 + 7 + u = 0 + 7

Combine like terms: -7 + 7 = 0
0 + u = 0 + 7
u = 0 + 7

Combine like terms: 0 + 7 = 7
u = 7

Simplifying
u = 7
Solution
u = {0, 7}