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Simplifying 72c3 + -108c2 + 16c = 0 Reorder the terms: 16c + -108c2 + 72c3 = 0 Solving 16c + -108c2 + 72c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c'. 4c(4 + -27c + 18c2) = 0 Factor a trinomial. 4c((1 + -6c)(4 + -3c)) = 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 '(1 + -6c)' equal to zero and attempt to solve: Simplifying 1 + -6c = 0 Solving 1 + -6c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6c = 0 + -1 -6c = 0 + -1 Combine like terms: 0 + -1 = -1 -6c = -1 Divide each side by '-6'. c = 0.1666666667 Simplifying c = 0.1666666667Subproblem 3
Set the factor '(4 + -3c)' equal to zero and attempt to solve: Simplifying 4 + -3c = 0 Solving 4 + -3c = 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 + -3c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3c = 0 + -4 -3c = 0 + -4 Combine like terms: 0 + -4 = -4 -3c = -4 Divide each side by '-3'. c = 1.333333333 Simplifying c = 1.333333333Solution
c = {0, 0.1666666667, 1.333333333}
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