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Simplifying 9c2 = 24 + 30c Solving 9c2 = 24 + 30c Solving for variable 'c'. Reorder the terms: -24 + -30c + 9c2 = 24 + 30c + -24 + -30c Reorder the terms: -24 + -30c + 9c2 = 24 + -24 + 30c + -30c Combine like terms: 24 + -24 = 0 -24 + -30c + 9c2 = 0 + 30c + -30c -24 + -30c + 9c2 = 30c + -30c Combine like terms: 30c + -30c = 0 -24 + -30c + 9c2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + -10c + 3c2) = 0 Factor a trinomial. 3((-2 + -3c)(4 + -1c)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -3c)' equal to zero and attempt to solve: Simplifying -2 + -3c = 0 Solving -2 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3c = 0 + 2 -3c = 0 + 2 Combine like terms: 0 + 2 = 2 -3c = 2 Divide each side by '-3'. c = -0.6666666667 Simplifying c = -0.6666666667Subproblem 2
Set the factor '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 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 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Solution
c = {-0.6666666667, 4}
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