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Simplifying (c + 8)(c + -9) = 0 Reorder the terms: (8 + c)(c + -9) = 0 Reorder the terms: (8 + c)(-9 + c) = 0 Multiply (8 + c) * (-9 + c) (8(-9 + c) + c(-9 + c)) = 0 ((-9 * 8 + c * 8) + c(-9 + c)) = 0 ((-72 + 8c) + c(-9 + c)) = 0 (-72 + 8c + (-9 * c + c * c)) = 0 (-72 + 8c + (-9c + c2)) = 0 Combine like terms: 8c + -9c = -1c (-72 + -1c + c2) = 0 Solving -72 + -1c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (-8 + -1c)(9 + -1c) = 0Subproblem 1
Set the factor '(-8 + -1c)' equal to zero and attempt to solve: Simplifying -8 + -1c = 0 Solving -8 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1c = 0 + 8 -1c = 0 + 8 Combine like terms: 0 + 8 = 8 -1c = 8 Divide each side by '-1'. c = -8 Simplifying c = -8Subproblem 2
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 = 9Solution
c = {-8, 9}
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