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Simplifying 3c2 + 4c + -132 = 0 Reorder the terms: -132 + 4c + 3c2 = 0 Solving -132 + 4c + 3c2 = 0 Solving for variable 'c'. Factor a trinomial. (-22 + -3c)(6 + -1c) = 0Subproblem 1
Set the factor '(-22 + -3c)' equal to zero and attempt to solve: Simplifying -22 + -3c = 0 Solving -22 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -3c = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -3c = 0 + 22 -3c = 0 + 22 Combine like terms: 0 + 22 = 22 -3c = 22 Divide each side by '-3'. c = -7.333333333 Simplifying c = -7.333333333Subproblem 2
Set the factor '(6 + -1c)' equal to zero and attempt to solve: Simplifying 6 + -1c = 0 Solving 6 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1c = 0 + -6 -1c = 0 + -6 Combine like terms: 0 + -6 = -6 -1c = -6 Divide each side by '-1'. c = 6 Simplifying c = 6Solution
c = {-7.333333333, 6}
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