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Simplifying 5c2 + 25c2 + -120c = 0 Reorder the terms: -120c + 5c2 + 25c2 = 0 Combine like terms: 5c2 + 25c2 = 30c2 -120c + 30c2 = 0 Solving -120c + 30c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '30c'. 30c(-4 + c) = 0 Ignore the factor 30.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 '(-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, 4}
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