-c^2=36-12c

Solution for -c^2=36-12c equation:

Simplifying
-1c2 = 36 + -12c

Solving
-1c2 = 36 + -12c

Solving for variable 'c'.

Reorder the terms:
-36 + 12c + -1c2 = 36 + -12c + -36 + 12c

Reorder the terms:
-36 + 12c + -1c2 = 36 + -36 + -12c + 12c

Combine like terms: 36 + -36 = 0
-36 + 12c + -1c2 = 0 + -12c + 12c
-36 + 12c + -1c2 = -12c + 12c

Combine like terms: -12c + 12c = 0
-36 + 12c + -1c2 = 0

Factor a trinomial.
(-6 + c)(6 + -1c) = 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 '(6 + -1c)' equal to zero and attempt to solve:

Simplifying
6 + -1c = 0

Solving
6 + -1c = 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 + -1c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1c = 0 + -6
-1c = 0 + -6

Combine like terms: 0 + -6 = -6
-1c = -6

Divide each side by '-1'.
c = 6

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