c^2=-35-12c

Solution for c^2=-35-12c equation:

Simplifying
c2 = -35 + -12c

Solving
c2 = -35 + -12c

Solving for variable 'c'.

Reorder the terms:
35 + 12c + c2 = -35 + -12c + 35 + 12c

Reorder the terms:
35 + 12c + c2 = -35 + 35 + -12c + 12c

Combine like terms: -35 + 35 = 0
35 + 12c + c2 = 0 + -12c + 12c
35 + 12c + c2 = -12c + 12c

Combine like terms: -12c + 12c = 0
35 + 12c + c2 = 0

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

Subproblem 1
Set the factor '(7 + c)' equal to zero and attempt to solve:

Simplifying
7 + c = 0

Solving
7 + c = 0

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

Add '-7' to each side of the equation.
7 + -7 + c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + c = 0 + -7
c = 0 + -7

Combine like terms: 0 + -7 = -7
c = -7

Simplifying
c = -7
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 = {-7, -5}