u^2=-11u

Solution for u^2=-11u equation:

Simplifying
u2 = -11u

Solving
u2 = -11u

Solving for variable 'u'.

Reorder the terms:
11u + u2 = -11u + 11u

Combine like terms: -11u + 11u = 0
11u + u2 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(11 + 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 '(11 + u)' equal to zero and attempt to solve:

Simplifying
11 + u = 0

Solving
11 + u = 0

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

Add '-11' to each side of the equation.
11 + -11 + u = 0 + -11

Combine like terms: 11 + -11 = 0
0 + u = 0 + -11
u = 0 + -11

Combine like terms: 0 + -11 = -11
u = -11

Simplifying
u = -11
Solution
u = {0, -11}