=c^2-c-30

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

Simplifying
0 = c2 + -1c + -30

Reorder the terms:
0 = -30 + -1c + c2

Solving
0 = -30 + -1c + c2

Solving for variable 'c'.

Combine like terms: 0 + 30 = 30
30 + c + -1c2 = -30 + -1c + c2 + 30 + c + -1c2

Reorder the terms:
30 + c + -1c2 = -30 + 30 + -1c + c + c2 + -1c2

Combine like terms: -30 + 30 = 0
30 + c + -1c2 = 0 + -1c + c + c2 + -1c2
30 + c + -1c2 = -1c + c + c2 + -1c2

Combine like terms: -1c + c = 0
30 + c + -1c2 = 0 + c2 + -1c2
30 + c + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
30 + c + -1c2 = 0

Factor a trinomial.
(6 + -1c)(5 + c) = 0

Subproblem 1
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
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}