0=2(c^2)-8c+8

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Solution for 0=2(c^2)-8c+8 equation: 


Simplifying
0 = 2(c2) + -8c + 8

Reorder the terms:
0 = 8 + -8c + 2c2

Solving
0 = 8 + -8c + 2c2

Solving for variable 'c'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 4c + -1c2) = 0

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

Ignore the factor 2.

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

Simplifying
-2 + c = 0

Solving
-2 + c = 0

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

Add '2' to each side of the equation.
-2 + 2 + c = 0 + 2

Combine like terms: -2 + 2 = 0
0 + c = 0 + 2
c = 0 + 2

Combine like terms: 0 + 2 = 2
c = 2

Simplifying
c = 2

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

Simplifying
2 + -1c = 0

Solving
2 + -1c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1c = 0 + -2
-1c = 0 + -2

Combine like terms: 0 + -2 = -2
-1c = -2

Divide each side by '-1'.
c = 2

Simplifying
c = 2
Solution
c = {2, 2}

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