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Simplifying 45c2 + -115c + -60 = 0 Reorder the terms: -60 + -115c + 45c2 = 0 Solving -60 + -115c + 45c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5'. 5(-12 + -23c + 9c2) = 0 Factor a trinomial. 5((-4 + -9c)(3 + -1c)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + -9c)' equal to zero and attempt to solve: Simplifying -4 + -9c = 0 Solving -4 + -9c = 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 + -9c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9c = 0 + 4 -9c = 0 + 4 Combine like terms: 0 + 4 = 4 -9c = 4 Divide each side by '-9'. c = -0.4444444444 Simplifying c = -0.4444444444Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 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 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Solution
c = {-0.4444444444, 3}
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