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Simplifying (6c + 13)(c + 12) = 0 Reorder the terms: (13 + 6c)(c + 12) = 0 Reorder the terms: (13 + 6c)(12 + c) = 0 Multiply (13 + 6c) * (12 + c) (13(12 + c) + 6c * (12 + c)) = 0 ((12 * 13 + c * 13) + 6c * (12 + c)) = 0 ((156 + 13c) + 6c * (12 + c)) = 0 (156 + 13c + (12 * 6c + c * 6c)) = 0 (156 + 13c + (72c + 6c2)) = 0 Combine like terms: 13c + 72c = 85c (156 + 85c + 6c2) = 0 Solving 156 + 85c + 6c2 = 0 Solving for variable 'c'. Factor a trinomial. (12 + c)(13 + 6c) = 0Subproblem 1
Set the factor '(12 + c)' equal to zero and attempt to solve: Simplifying 12 + c = 0 Solving 12 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + c = 0 + -12 c = 0 + -12 Combine like terms: 0 + -12 = -12 c = -12 Simplifying c = -12Subproblem 2
Set the factor '(13 + 6c)' equal to zero and attempt to solve: Simplifying 13 + 6c = 0 Solving 13 + 6c = 0 Move all terms containing c to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6c = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6c = 0 + -13 6c = 0 + -13 Combine like terms: 0 + -13 = -13 6c = -13 Divide each side by '6'. c = -2.166666667 Simplifying c = -2.166666667Solution
c = {-12, -2.166666667}
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