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Simplifying -12c2 + -38c = -40 Reorder the terms: -38c + -12c2 = -40 Solving -38c + -12c2 = -40 Solving for variable 'c'. Reorder the terms: 40 + -38c + -12c2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + -38c + -12c2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(20 + -19c + -6c2) = 0 Factor a trinomial. 2((5 + -6c)(4 + c)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -6c)' equal to zero and attempt to solve: Simplifying 5 + -6c = 0 Solving 5 + -6c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6c = 0 + -5 -6c = 0 + -5 Combine like terms: 0 + -5 = -5 -6c = -5 Divide each side by '-6'. c = 0.8333333333 Simplifying c = 0.8333333333Subproblem 2
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 = -4Solution
c = {0.8333333333, -4}
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