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Simplifying 112c3 + 34c2 + -6c = 0 Reorder the terms: -6c + 34c2 + 112c3 = 0 Solving -6c + 34c2 + 112c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c'. 2c(-3 + 17c + 56c2) = 0 Factor a trinomial. 2c((-3 + -7c)(1 + -8c)) = 0 Ignore the factor 2.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 + -7c)' equal to zero and attempt to solve: Simplifying -3 + -7c = 0 Solving -3 + -7c = 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 + -7c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7c = 0 + 3 -7c = 0 + 3 Combine like terms: 0 + 3 = 3 -7c = 3 Divide each side by '-7'. c = -0.4285714286 Simplifying c = -0.4285714286Subproblem 3
Set the factor '(1 + -8c)' equal to zero and attempt to solve: Simplifying 1 + -8c = 0 Solving 1 + -8c = 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 + -8c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8c = 0 + -1 -8c = 0 + -1 Combine like terms: 0 + -1 = -1 -8c = -1 Divide each side by '-8'. c = 0.125 Simplifying c = 0.125Solution
c = {0, -0.4285714286, 0.125}
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