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Simplifying 80c2 + 52c2 + -60c = 0 Reorder the terms: -60c + 80c2 + 52c2 = 0 Combine like terms: 80c2 + 52c2 = 132c2 -60c + 132c2 = 0 Solving -60c + 132c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '12c'. 12c(-5 + 11c) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(-5 + 11c)' equal to zero and attempt to solve: Simplifying -5 + 11c = 0 Solving -5 + 11c = 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 + 11c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 11c = 0 + 5 11c = 0 + 5 Combine like terms: 0 + 5 = 5 11c = 5 Divide each side by '11'. c = 0.4545454545 Simplifying c = 0.4545454545Solution
c = {0, 0.4545454545}
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