u^2=-15u

Solution for u^2=-15u equation:

Simplifying
u2 = -15u

Solving
u2 = -15u

Solving for variable 'u'.

Reorder the terms:
15u + u2 = -15u + 15u

Combine like terms: -15u + 15u = 0
15u + u2 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(15 + 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 '(15 + u)' equal to zero and attempt to solve:

Simplifying
15 + u = 0

Solving
15 + u = 0

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

Add '-15' to each side of the equation.
15 + -15 + u = 0 + -15

Combine like terms: 15 + -15 = 0
0 + u = 0 + -15
u = 0 + -15

Combine like terms: 0 + -15 = -15
u = -15

Simplifying
u = -15
Solution
u = {0, -15}