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Simplifying (4c + 9)(c + 8) = 0 Reorder the terms: (9 + 4c)(c + 8) = 0 Reorder the terms: (9 + 4c)(8 + c) = 0 Multiply (9 + 4c) * (8 + c) (9(8 + c) + 4c * (8 + c)) = 0 ((8 * 9 + c * 9) + 4c * (8 + c)) = 0 ((72 + 9c) + 4c * (8 + c)) = 0 (72 + 9c + (8 * 4c + c * 4c)) = 0 (72 + 9c + (32c + 4c2)) = 0 Combine like terms: 9c + 32c = 41c (72 + 41c + 4c2) = 0 Solving 72 + 41c + 4c2 = 0 Solving for variable 'c'. Factor a trinomial. (8 + c)(9 + 4c) = 0Subproblem 1
Set the factor '(8 + c)' equal to zero and attempt to solve: Simplifying 8 + c = 0 Solving 8 + c = 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 + c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + c = 0 + -8 c = 0 + -8 Combine like terms: 0 + -8 = -8 c = -8 Simplifying c = -8Subproblem 2
Set the factor '(9 + 4c)' equal to zero and attempt to solve: Simplifying 9 + 4c = 0 Solving 9 + 4c = 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 + 4c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4c = 0 + -9 4c = 0 + -9 Combine like terms: 0 + -9 = -9 4c = -9 Divide each side by '4'. c = -2.25 Simplifying c = -2.25Solution
c = {-8, -2.25}
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