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Simplifying 4c3 + -20c2 = 96c Reorder the terms: -20c2 + 4c3 = 96c Solving -20c2 + 4c3 = 96c Solving for variable 'c'. Reorder the terms: -96c + -20c2 + 4c3 = 96c + -96c Combine like terms: 96c + -96c = 0 -96c + -20c2 + 4c3 = 0 Factor out the Greatest Common Factor (GCF), '4c'. 4c(-24 + -5c + c2) = 0 Factor a trinomial. 4c((-3 + -1c)(8 + -1c)) = 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 '(-3 + -1c)' equal to zero and attempt to solve: Simplifying -3 + -1c = 0 Solving -3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1c = 0 + 3 -1c = 0 + 3 Combine like terms: 0 + 3 = 3 -1c = 3 Divide each side by '-1'. c = -3 Simplifying c = -3Subproblem 3
Set the factor '(8 + -1c)' equal to zero and attempt to solve: Simplifying 8 + -1c = 0 Solving 8 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1c = 0 + -8 -1c = 0 + -8 Combine like terms: 0 + -8 = -8 -1c = -8 Divide each side by '-1'. c = 8 Simplifying c = 8Solution
c = {0, -3, 8}
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