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Simplifying 16c2 + 52c2 + -48c = 0 Reorder the terms: -48c + 16c2 + 52c2 = 0 Combine like terms: 16c2 + 52c2 = 68c2 -48c + 68c2 = 0 Solving -48c + 68c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c'. 4c(-12 + 17c) = 0 Ignore the factor 4.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 '(-12 + 17c)' equal to zero and attempt to solve: Simplifying -12 + 17c = 0 Solving -12 + 17c = 0 Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 17c = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 17c = 0 + 12 17c = 0 + 12 Combine like terms: 0 + 12 = 12 17c = 12 Divide each side by '17'. c = 0.7058823529 Simplifying c = 0.7058823529Solution
c = {0, 0.7058823529}
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