c^2=-30-11c

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

Simplifying
c2 = -30 + -11c

Solving
c2 = -30 + -11c

Solving for variable 'c'.

Reorder the terms:
30 + 11c + c2 = -30 + -11c + 30 + 11c

Reorder the terms:
30 + 11c + c2 = -30 + 30 + -11c + 11c

Combine like terms: -30 + 30 = 0
30 + 11c + c2 = 0 + -11c + 11c
30 + 11c + c2 = -11c + 11c

Combine like terms: -11c + 11c = 0
30 + 11c + c2 = 0

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

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

Simplifying
6 + c = 0

Solving
6 + c = 0

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

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

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

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

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

Simplifying
5 + c = 0

Solving
5 + c = 0

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

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

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

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

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