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Simplifying 12c3 + 8c2 = 0 Reorder the terms: 8c2 + 12c3 = 0 Solving 8c2 + 12c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c2'. 4c2(2 + 3c) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}Subproblem 2
Set the factor '(2 + 3c)' equal to zero and attempt to solve: Simplifying 2 + 3c = 0 Solving 2 + 3c = 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 + 3c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3c = 0 + -2 3c = 0 + -2 Combine like terms: 0 + -2 = -2 3c = -2 Divide each side by '3'. c = -0.6666666667 Simplifying c = -0.6666666667Solution
c = {0, -0.6666666667}
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