5c^2-5c-95=5

Solution for 5c^2-5c-95=5 equation:

Simplifying
5c2 + -5c + -95 = 5

Reorder the terms:
-95 + -5c + 5c2 = 5

Solving
-95 + -5c + 5c2 = 5

Solving for variable 'c'.

Reorder the terms:
-95 + -5 + -5c + 5c2 = 5 + -5

Combine like terms: -95 + -5 = -100
-100 + -5c + 5c2 = 5 + -5

Combine like terms: 5 + -5 = 0
-100 + -5c + 5c2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-20 + -1c + c2) = 0

Factor a trinomial.
5((-4 + -1c)(5 + -1c)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-4 + -1c)' equal to zero and attempt to solve:

Simplifying
-4 + -1c = 0

Solving
-4 + -1c = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1c = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1c = 0 + 4
-1c = 0 + 4

Combine like terms: 0 + 4 = 4
-1c = 4

Divide each side by '-1'.
c = -4

Simplifying
c = -4
Subproblem 2
Set the factor '(5 + -1c)' equal to zero and attempt to solve:

Simplifying
5 + -1c = 0

Solving
5 + -1c = 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 + -1c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1c = 0 + -5
-1c = 0 + -5

Combine like terms: 0 + -5 = -5
-1c = -5

Divide each side by '-1'.
c = 5

Simplifying
c = 5
Solution
c = {-4, 5}