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Simplifying
(15 + c)(15 + -1c) = 0
Multiply (15 + c) * (15 + -1c)
(15(15 + -1c) + c(15 + -1c)) = 0
((15 * 15 + -1c * 15) + c(15 + -1c)) = 0
((225 + -15c) + c(15 + -1c)) = 0
(225 + -15c + (15 * c + -1c * c)) = 0
(225 + -15c + (15c + -1c2)) = 0
Combine like terms: -15c + 15c = 0
(225 + 0 + -1c2) = 0
(225 + -1c2) = 0
Solving
225 + -1c2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-225' to each side of the equation.
225 + -225 + -1c2 = 0 + -225
Combine like terms: 225 + -225 = 0
0 + -1c2 = 0 + -225
-1c2 = 0 + -225
Combine like terms: 0 + -225 = -225
-1c2 = -225
Divide each side by '-1'.
c2 = 225
Simplifying
c2 = 225
Take the square root of each side:
c = {-15, 15}
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