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Simplifying 3c2 + 17c + 24 = 0 Reorder the terms: 24 + 17c + 3c2 = 0 Solving 24 + 17c + 3c2 = 0 Solving for variable 'c'. Factor a trinomial. (3 + c)(8 + 3c) = 0Subproblem 1
Set the factor '(3 + c)' equal to zero and attempt to solve: Simplifying 3 + c = 0 Solving 3 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + c = 0 + -3 c = 0 + -3 Combine like terms: 0 + -3 = -3 c = -3 Simplifying c = -3Subproblem 2
Set the factor '(8 + 3c)' equal to zero and attempt to solve: Simplifying 8 + 3c = 0 Solving 8 + 3c = 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 + 3c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3c = 0 + -8 3c = 0 + -8 Combine like terms: 0 + -8 = -8 3c = -8 Divide each side by '3'. c = -2.666666667 Simplifying c = -2.666666667Solution
c = {-3, -2.666666667}
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