v^2=-30-11v

Solution for v^2=-30-11v equation:

Simplifying
v2 = -30 + -11v

Solving
v2 = -30 + -11v

Solving for variable 'v'.

Reorder the terms:
30 + 11v + v2 = -30 + -11v + 30 + 11v

Reorder the terms:
30 + 11v + v2 = -30 + 30 + -11v + 11v

Combine like terms: -30 + 30 = 0
30 + 11v + v2 = 0 + -11v + 11v
30 + 11v + v2 = -11v + 11v

Combine like terms: -11v + 11v = 0
30 + 11v + v2 = 0

Factor a trinomial.
(6 + v)(5 + v) = 0

Subproblem 1
Set the factor '(6 + v)' equal to zero and attempt to solve:

Simplifying
6 + v = 0

Solving
6 + v = 0

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

Add '-6' to each side of the equation.
6 + -6 + v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + v = 0 + -6
v = 0 + -6

Combine like terms: 0 + -6 = -6
v = -6

Simplifying
v = -6
Subproblem 2
Set the factor '(5 + v)' equal to zero and attempt to solve:

Simplifying
5 + v = 0

Solving
5 + v = 0

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

Add '-5' to each side of the equation.
5 + -5 + v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + v = 0 + -5
v = 0 + -5

Combine like terms: 0 + -5 = -5
v = -5

Simplifying
v = -5
Solution
v = {-6, -5}