5c^2-6c-30c+36=

Solution for 5c^2-6c-30c+36= equation:

Simplifying
5c2 + -6c + -30c + 36 = 0

Reorder the terms:
36 + -6c + -30c + 5c2 = 0

Combine like terms: -6c + -30c = -36c
36 + -36c + 5c2 = 0

Solving
36 + -36c + 5c2 = 0

Solving for variable 'c'.

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

Subproblem 1
Set the factor '(6 + -5c)' equal to zero and attempt to solve:

Simplifying
6 + -5c = 0

Solving
6 + -5c = 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 + -5c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5c = 0 + -6
-5c = 0 + -6

Combine like terms: 0 + -6 = -6
-5c = -6

Divide each side by '-5'.
c = 1.2

Simplifying
c = 1.2
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 = {1.2, 6}