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Simplifying 4c3 + 8c2 + -96c = 0 Reorder the terms: -96c + 8c2 + 4c3 = 0 Solving -96c + 8c2 + 4c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c'. 4c(-24 + 2c + c2) = 0 Factor a trinomial. 4c((-6 + -1c)(4 + -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 '(-6 + -1c)' equal to zero and attempt to solve: Simplifying -6 + -1c = 0 Solving -6 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1c = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1c = 0 + 6 -1c = 0 + 6 Combine like terms: 0 + 6 = 6 -1c = 6 Divide each side by '-1'. c = -6 Simplifying c = -6Subproblem 3
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 = 4Solution
c = {0, -6, 4}
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