u^2=14u

Solution for u^2=14u equation:

Simplifying
u2 = 14u

Solving
u2 = 14u

Solving for variable 'u'.

Reorder the terms:
-14u + u2 = 14u + -14u

Combine like terms: 14u + -14u = 0
-14u + u2 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(-14 + 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 '(-14 + u)' equal to zero and attempt to solve:

Simplifying
-14 + u = 0

Solving
-14 + u = 0

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

Add '14' to each side of the equation.
-14 + 14 + u = 0 + 14

Combine like terms: -14 + 14 = 0
0 + u = 0 + 14
u = 0 + 14

Combine like terms: 0 + 14 = 14
u = 14

Simplifying
u = 14
Solution
u = {0, 14}