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Simplifying (5c2 + -6c) = 6c Reorder the terms: (-6c + 5c2) = 6c Remove parenthesis around (-6c + 5c2) -6c + 5c2 = 6c Solving -6c + 5c2 = 6c Solving for variable 'c'. Reorder the terms: -6c + -6c + 5c2 = 6c + -6c Combine like terms: -6c + -6c = -12c -12c + 5c2 = 6c + -6c Combine like terms: 6c + -6c = 0 -12c + 5c2 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(-12 + 5c) = 0Subproblem 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 + 5c)' equal to zero and attempt to solve: Simplifying -12 + 5c = 0 Solving -12 + 5c = 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 + 5c = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5c = 0 + 12 5c = 0 + 12 Combine like terms: 0 + 12 = 12 5c = 12 Divide each side by '5'. c = 2.4 Simplifying c = 2.4Solution
c = {0, 2.4}
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