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Simplifying 42c3 + -138c2 + 36c = 0 Reorder the terms: 36c + -138c2 + 42c3 = 0 Solving 36c + -138c2 + 42c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '6c'. 6c(6 + -23c + 7c2) = 0 Factor a trinomial. 6c((2 + -7c)(3 + -1c)) = 0 Ignore the factor 6.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 '(2 + -7c)' equal to zero and attempt to solve: Simplifying 2 + -7c = 0 Solving 2 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7c = 0 + -2 -7c = 0 + -2 Combine like terms: 0 + -2 = -2 -7c = -2 Divide each side by '-7'. c = 0.2857142857 Simplifying c = 0.2857142857Subproblem 3
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 = 3Solution
c = {0, 0.2857142857, 3}
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