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Simplifying
(c + -7)(c + 7) = 0
Reorder the terms:
(-7 + c)(c + 7) = 0
Reorder the terms:
(-7 + c)(7 + c) = 0
Multiply (-7 + c) * (7 + c)
(-7(7 + c) + c(7 + c)) = 0
((7 * -7 + c * -7) + c(7 + c)) = 0
((-49 + -7c) + c(7 + c)) = 0
(-49 + -7c + (7 * c + c * c)) = 0
(-49 + -7c + (7c + c2)) = 0
Combine like terms: -7c + 7c = 0
(-49 + 0 + c2) = 0
(-49 + c2) = 0
Solving
-49 + c2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + c2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + c2 = 0 + 49
c2 = 0 + 49
Combine like terms: 0 + 49 = 49
c2 = 49
Simplifying
c2 = 49
Take the square root of each side:
c = {-7, 7}
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