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Simplifying 8c2 + 61c + 35 = 0 Reorder the terms: 35 + 61c + 8c2 = 0 Solving 35 + 61c + 8c2 = 0 Solving for variable 'c'. Factor a trinomial. (7 + c)(5 + 8c) = 0Subproblem 1
Set the factor '(7 + c)' equal to zero and attempt to solve: Simplifying 7 + c = 0 Solving 7 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + c = 0 + -7 c = 0 + -7 Combine like terms: 0 + -7 = -7 c = -7 Simplifying c = -7Subproblem 2
Set the factor '(5 + 8c)' equal to zero and attempt to solve: Simplifying 5 + 8c = 0 Solving 5 + 8c = 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 + 8c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8c = 0 + -5 8c = 0 + -5 Combine like terms: 0 + -5 = -5 8c = -5 Divide each side by '8'. c = -0.625 Simplifying c = -0.625Solution
c = {-7, -0.625}
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