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Simplifying 16c3 + -12c2 + -18c = 0 Reorder the terms: -18c + -12c2 + 16c3 = 0 Solving -18c + -12c2 + 16c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c'. 2c(-9 + -6c + 8c2) = 0 Factor a trinomial. 2c((-3 + -4c)(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 '(-3 + -4c)' equal to zero and attempt to solve: Simplifying -3 + -4c = 0 Solving -3 + -4c = 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 + -4c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4c = 0 + 3 -4c = 0 + 3 Combine like terms: 0 + 3 = 3 -4c = 3 Divide each side by '-4'. c = -0.75 Simplifying c = -0.75Subproblem 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, -0.75, 1.5}
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