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Simplifying (c + -36)(c + 9) = 0 Reorder the terms: (-36 + c)(c + 9) = 0 Reorder the terms: (-36 + c)(9 + c) = 0 Multiply (-36 + c) * (9 + c) (-36(9 + c) + c(9 + c)) = 0 ((9 * -36 + c * -36) + c(9 + c)) = 0 ((-324 + -36c) + c(9 + c)) = 0 (-324 + -36c + (9 * c + c * c)) = 0 (-324 + -36c + (9c + c2)) = 0 Combine like terms: -36c + 9c = -27c (-324 + -27c + c2) = 0 Solving -324 + -27c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (-9 + -1c)(36 + -1c) = 0Subproblem 1
Set the factor '(-9 + -1c)' equal to zero and attempt to solve: Simplifying -9 + -1c = 0 Solving -9 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1c = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1c = 0 + 9 -1c = 0 + 9 Combine like terms: 0 + 9 = 9 -1c = 9 Divide each side by '-1'. c = -9 Simplifying c = -9Subproblem 2
Set the factor '(36 + -1c)' equal to zero and attempt to solve: Simplifying 36 + -1c = 0 Solving 36 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1c = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1c = 0 + -36 -1c = 0 + -36 Combine like terms: 0 + -36 = -36 -1c = -36 Divide each side by '-1'. c = 36 Simplifying c = 36Solution
c = {-9, 36}
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