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Simplifying
(4c + 4)(4c + -4) = 0
Reorder the terms:
(4 + 4c)(4c + -4) = 0
Reorder the terms:
(4 + 4c)(-4 + 4c) = 0
Multiply (4 + 4c) * (-4 + 4c)
(4(-4 + 4c) + 4c * (-4 + 4c)) = 0
((-4 * 4 + 4c * 4) + 4c * (-4 + 4c)) = 0
((-16 + 16c) + 4c * (-4 + 4c)) = 0
(-16 + 16c + (-4 * 4c + 4c * 4c)) = 0
(-16 + 16c + (-16c + 16c2)) = 0
Combine like terms: 16c + -16c = 0
(-16 + 0 + 16c2) = 0
(-16 + 16c2) = 0
Solving
-16 + 16c2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 16c2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 16c2 = 0 + 16
16c2 = 0 + 16
Combine like terms: 0 + 16 = 16
16c2 = 16
Divide each side by '16'.
c2 = 1
Simplifying
c2 = 1
Take the square root of each side:
c = {-1, 1}
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