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Simplifying (c + 5)(c + -9) = 0 Reorder the terms: (5 + c)(c + -9) = 0 Reorder the terms: (5 + c)(-9 + c) = 0 Multiply (5 + c) * (-9 + c) (5(-9 + c) + c(-9 + c)) = 0 ((-9 * 5 + c * 5) + c(-9 + c)) = 0 ((-45 + 5c) + c(-9 + c)) = 0 (-45 + 5c + (-9 * c + c * c)) = 0 (-45 + 5c + (-9c + c2)) = 0 Combine like terms: 5c + -9c = -4c (-45 + -4c + c2) = 0 Solving -45 + -4c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (-5 + -1c)(9 + -1c) = 0Subproblem 1
Set the factor '(-5 + -1c)' equal to zero and attempt to solve: Simplifying -5 + -1c = 0 Solving -5 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1c = 0 + 5 -1c = 0 + 5 Combine like terms: 0 + 5 = 5 -1c = 5 Divide each side by '-1'. c = -5 Simplifying c = -5Subproblem 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 = {-5, 9}
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