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Simplifying (c + 4)(-1c + -9) = 0 Reorder the terms: (4 + c)(-1c + -9) = 0 Reorder the terms: (4 + c)(-9 + -1c) = 0 Multiply (4 + c) * (-9 + -1c) (4(-9 + -1c) + c(-9 + -1c)) = 0 ((-9 * 4 + -1c * 4) + c(-9 + -1c)) = 0 ((-36 + -4c) + c(-9 + -1c)) = 0 (-36 + -4c + (-9 * c + -1c * c)) = 0 (-36 + -4c + (-9c + -1c2)) = 0 Combine like terms: -4c + -9c = -13c (-36 + -13c + -1c2) = 0 Solving -36 + -13c + -1c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '-1'. -1(36 + 13c + c2) = 0 Factor a trinomial. -1((9 + c)(4 + c)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + c)' equal to zero and attempt to solve: Simplifying 9 + c = 0 Solving 9 + c = 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 + c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + c = 0 + -9 c = 0 + -9 Combine like terms: 0 + -9 = -9 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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