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Simplifying 4c3 + -2c2 + -12c = 0 Reorder the terms: -12c + -2c2 + 4c3 = 0 Solving -12c + -2c2 + 4c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c'. 2c(-6 + -1c + 2c2) = 0 Factor a trinomial. 2c((-3 + -2c)(2 + -1c)) = 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 + -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 '(2 + -1c)' equal to zero and attempt to solve: Simplifying 2 + -1c = 0 Solving 2 + -1c = 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 + -1c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 0 + -2 -1c = 0 + -2 Combine like terms: 0 + -2 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2Solution
c = {0, -1.5, 2}
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