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Simplifying
(c + 6)(c + -6) = 0
Reorder the terms:
(6 + c)(c + -6) = 0
Reorder the terms:
(6 + c)(-6 + c) = 0
Multiply (6 + c) * (-6 + c)
(6(-6 + c) + c(-6 + c)) = 0
((-6 * 6 + c * 6) + c(-6 + c)) = 0
((-36 + 6c) + c(-6 + c)) = 0
(-36 + 6c + (-6 * c + c * c)) = 0
(-36 + 6c + (-6c + c2)) = 0
Combine like terms: 6c + -6c = 0
(-36 + 0 + c2) = 0
(-36 + c2) = 0
Solving
-36 + c2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '36' to each side of the equation.
-36 + 36 + c2 = 0 + 36
Combine like terms: -36 + 36 = 0
0 + c2 = 0 + 36
c2 = 0 + 36
Combine like terms: 0 + 36 = 36
c2 = 36
Simplifying
c2 = 36
Take the square root of each side:
c = {-6, 6}
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