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