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Simplifying (-4c + 36)(c + 4) = 0 Reorder the terms: (36 + -4c)(c + 4) = 0 Reorder the terms: (36 + -4c)(4 + c) = 0 Multiply (36 + -4c) * (4 + c) (36(4 + c) + -4c * (4 + c)) = 0 ((4 * 36 + c * 36) + -4c * (4 + c)) = 0 ((144 + 36c) + -4c * (4 + c)) = 0 (144 + 36c + (4 * -4c + c * -4c)) = 0 (144 + 36c + (-16c + -4c2)) = 0 Combine like terms: 36c + -16c = 20c (144 + 20c + -4c2) = 0 Solving 144 + 20c + -4c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4'. 4(36 + 5c + -1c2) = 0 Factor a trinomial. 4((9 + -1c)(4 + c)) = 0 Ignore the factor 4.Subproblem 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 '(4 + c)' equal to zero and attempt to solve: Simplifying 4 + c = 0 Solving 4 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + c = 0 + -4 c = 0 + -4 Combine like terms: 0 + -4 = -4 c = -4 Simplifying c = -4Solution
c = {9, -4}
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