(6c+6)(6c+6)=

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Solution for (6c+6)(6c+6)= equation:


Simplifying
(6c + 6)(6c + 6) = 0

Reorder the terms:
(6 + 6c)(6c + 6) = 0

Reorder the terms:
(6 + 6c)(6 + 6c) = 0

Multiply (6 + 6c) * (6 + 6c)
(6(6 + 6c) + 6c * (6 + 6c)) = 0
((6 * 6 + 6c * 6) + 6c * (6 + 6c)) = 0
((36 + 36c) + 6c * (6 + 6c)) = 0
(36 + 36c + (6 * 6c + 6c * 6c)) = 0
(36 + 36c + (36c + 36c2)) = 0

Combine like terms: 36c + 36c = 72c
(36 + 72c + 36c2) = 0

Solving
36 + 72c + 36c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '36'.
36(1 + 2c + c2) = 0

Factor a trinomial.
36((1 + c)(1 + c)) = 0

Ignore the factor 36.

Subproblem 1

Set the factor '(1 + c)' equal to zero and attempt to solve: Simplifying 1 + c = 0 Solving 1 + c = 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 + c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c = 0 + -1 c = 0 + -1 Combine like terms: 0 + -1 = -1 c = -1 Simplifying c = -1

Subproblem 2

Set the factor '(1 + c)' equal to zero and attempt to solve: Simplifying 1 + c = 0 Solving 1 + c = 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 + c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c = 0 + -1 c = 0 + -1 Combine like terms: 0 + -1 = -1 c = -1 Simplifying c = -1

Solution

c = {-1, -1}

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