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Simplifying
(2c + 4)(2c + -4) = 0
Reorder the terms:
(4 + 2c)(2c + -4) = 0
Reorder the terms:
(4 + 2c)(-4 + 2c) = 0
Multiply (4 + 2c) * (-4 + 2c)
(4(-4 + 2c) + 2c * (-4 + 2c)) = 0
((-4 * 4 + 2c * 4) + 2c * (-4 + 2c)) = 0
((-16 + 8c) + 2c * (-4 + 2c)) = 0
(-16 + 8c + (-4 * 2c + 2c * 2c)) = 0
(-16 + 8c + (-8c + 4c2)) = 0
Combine like terms: 8c + -8c = 0
(-16 + 0 + 4c2) = 0
(-16 + 4c2) = 0
Solving
-16 + 4c2 = 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 + 4c2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 4c2 = 0 + 16
4c2 = 0 + 16
Combine like terms: 0 + 16 = 16
4c2 = 16
Divide each side by '4'.
c2 = 4
Simplifying
c2 = 4
Take the square root of each side:
c = {-2, 2}
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