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Simplifying 3c3 + -15c2 = 108c Reorder the terms: -15c2 + 3c3 = 108c Solving -15c2 + 3c3 = 108c Solving for variable 'c'. Reorder the terms: -108c + -15c2 + 3c3 = 108c + -108c Combine like terms: 108c + -108c = 0 -108c + -15c2 + 3c3 = 0 Factor out the Greatest Common Factor (GCF), '3c'. 3c(-36 + -5c + c2) = 0 Factor a trinomial. 3c((-4 + -1c)(9 + -1c)) = 0 Ignore the factor 3.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 + -1c)' equal to zero and attempt to solve: Simplifying -4 + -1c = 0 Solving -4 + -1c = 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 + -1c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1c = 0 + 4 -1c = 0 + 4 Combine like terms: 0 + 4 = 4 -1c = 4 Divide each side by '-1'. c = -4 Simplifying c = -4Subproblem 3
Set the factor '(9 + -1c)' equal to zero and attempt to solve: Simplifying 9 + -1c = 0 Solving 9 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1c = 0 + -9 -1c = 0 + -9 Combine like terms: 0 + -9 = -9 -1c = -9 Divide each side by '-1'. c = 9 Simplifying c = 9Solution
c = {0, -4, 9}
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