u^2=-16u

Solution for u^2=-16u equation:

Simplifying
u2 = -16u

Solving
u2 = -16u

Solving for variable 'u'.

Reorder the terms:
16u + u2 = -16u + 16u

Combine like terms: -16u + 16u = 0
16u + u2 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(16 + 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 '(16 + u)' equal to zero and attempt to solve:

Simplifying
16 + u = 0

Solving
16 + u = 0

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

Add '-16' to each side of the equation.
16 + -16 + u = 0 + -16

Combine like terms: 16 + -16 = 0
0 + u = 0 + -16
u = 0 + -16

Combine like terms: 0 + -16 = -16
u = -16

Simplifying
u = -16
Solution
u = {0, -16}