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Simplifying (c + 5)(7c + 9) = 0 Reorder the terms: (5 + c)(7c + 9) = 0 Reorder the terms: (5 + c)(9 + 7c) = 0 Multiply (5 + c) * (9 + 7c) (5(9 + 7c) + c(9 + 7c)) = 0 ((9 * 5 + 7c * 5) + c(9 + 7c)) = 0 ((45 + 35c) + c(9 + 7c)) = 0 (45 + 35c + (9 * c + 7c * c)) = 0 (45 + 35c + (9c + 7c2)) = 0 Combine like terms: 35c + 9c = 44c (45 + 44c + 7c2) = 0 Solving 45 + 44c + 7c2 = 0 Solving for variable 'c'. Factor a trinomial. (5 + c)(9 + 7c) = 0Subproblem 1
Set the factor '(5 + c)' equal to zero and attempt to solve: Simplifying 5 + c = 0 Solving 5 + c = 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 + c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + c = 0 + -5 c = 0 + -5 Combine like terms: 0 + -5 = -5 c = -5 Simplifying c = -5Subproblem 2
Set the factor '(9 + 7c)' equal to zero and attempt to solve: Simplifying 9 + 7c = 0 Solving 9 + 7c = 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 + 7c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7c = 0 + -9 7c = 0 + -9 Combine like terms: 0 + -9 = -9 7c = -9 Divide each side by '7'. c = -1.285714286 Simplifying c = -1.285714286Solution
c = {-5, -1.285714286}
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