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Simplifying -75c3 + -30c2 + 72c = 0 Reorder the terms: 72c + -30c2 + -75c3 = 0 Solving 72c + -30c2 + -75c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c'. 3c(24 + -10c + -25c2) = 0 Factor a trinomial. 3c((4 + -5c)(6 + 5c)) = 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 + -5c)' equal to zero and attempt to solve: Simplifying 4 + -5c = 0 Solving 4 + -5c = 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 + -5c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5c = 0 + -4 -5c = 0 + -4 Combine like terms: 0 + -4 = -4 -5c = -4 Divide each side by '-5'. c = 0.8 Simplifying c = 0.8Subproblem 3
Set the factor '(6 + 5c)' equal to zero and attempt to solve: Simplifying 6 + 5c = 0 Solving 6 + 5c = 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 + 5c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5c = 0 + -6 5c = 0 + -6 Combine like terms: 0 + -6 = -6 5c = -6 Divide each side by '5'. c = -1.2 Simplifying c = -1.2Solution
c = {0, 0.8, -1.2}
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