2c^2-2=8c-8

Solution for 2c^2-2=8c-8 equation:

Simplifying
2c2 + -2 = 8c + -8

Reorder the terms:
-2 + 2c2 = 8c + -8

Reorder the terms:
-2 + 2c2 = -8 + 8c

Solving
-2 + 2c2 = -8 + 8c

Solving for variable 'c'.

Reorder the terms:
-2 + 8 + -8c + 2c2 = -8 + 8c + 8 + -8c

Combine like terms: -2 + 8 = 6
6 + -8c + 2c2 = -8 + 8c + 8 + -8c

Reorder the terms:
6 + -8c + 2c2 = -8 + 8 + 8c + -8c

Combine like terms: -8 + 8 = 0
6 + -8c + 2c2 = 0 + 8c + -8c
6 + -8c + 2c2 = 8c + -8c

Combine like terms: 8c + -8c = 0
6 + -8c + 2c2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -4c + c2) = 0

Factor a trinomial.
2((1 + -1c)(3 + -1c)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -1c)' equal to zero and attempt to solve:

Simplifying
1 + -1c = 0

Solving
1 + -1c = 0

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

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

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

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

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

Simplifying
c = 1
Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve:

Simplifying
3 + -1c = 0

Solving
3 + -1c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1c = 0 + -3
-1c = 0 + -3

Combine like terms: 0 + -3 = -3
-1c = -3

Divide each side by '-1'.
c = 3

Simplifying
c = 3
Solution
c = {1, 3}