2(c-2)(c-2)=0

Solution for 2(c-2)(c-2)=0 equation:

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

Reorder the terms:
2(-2 + c)(c + -2) = 0

Reorder the terms:
2(-2 + c)(-2 + c) = 0

Multiply (-2 + c) * (-2 + c)
2(-2(-2 + c) + c(-2 + c)) = 0
2((-2 * -2 + c * -2) + c(-2 + c)) = 0
2((4 + -2c) + c(-2 + c)) = 0
2(4 + -2c + (-2 * c + c * c)) = 0
2(4 + -2c + (-2c + c2)) = 0

Combine like terms: -2c + -2c = -4c
2(4 + -4c + c2) = 0
(4 * 2 + -4c * 2 + c2 * 2) = 0
(8 + -8c + 2c2) = 0

Solving
8 + -8c + 2c2 = 0

Solving for variable 'c'.

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

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

Ignore the factor 2.
Subproblem 1
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
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}