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Simplifying 3c2 + 22c + 40 = 0 Reorder the terms: 40 + 22c + 3c2 = 0 Solving 40 + 22c + 3c2 = 0 Solving for variable 'c'. Factor a trinomial. (4 + c)(10 + 3c) = 0Subproblem 1
Set the factor '(4 + c)' equal to zero and attempt to solve: Simplifying 4 + c = 0 Solving 4 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + c = 0 + -4 c = 0 + -4 Combine like terms: 0 + -4 = -4 c = -4 Simplifying c = -4Subproblem 2
Set the factor '(10 + 3c)' equal to zero and attempt to solve: Simplifying 10 + 3c = 0 Solving 10 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3c = 0 + -10 3c = 0 + -10 Combine like terms: 0 + -10 = -10 3c = -10 Divide each side by '3'. c = -3.333333333 Simplifying c = -3.333333333Solution
c = {-4, -3.333333333}
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