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Simplifying 50c3 + 135c2 + 90c = 0 Reorder the terms: 90c + 135c2 + 50c3 = 0 Solving 90c + 135c2 + 50c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5c'. 5c(18 + 27c + 10c2) = 0 Factor a trinomial. 5c((3 + 2c)(6 + 5c)) = 0 Ignore the factor 5.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 + 2c)' equal to zero and attempt to solve: Simplifying 3 + 2c = 0 Solving 3 + 2c = 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 + 2c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2c = 0 + -3 2c = 0 + -3 Combine like terms: 0 + -3 = -3 2c = -3 Divide each side by '2'. c = -1.5 Simplifying c = -1.5Subproblem 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, -1.5, -1.2}
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