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Simplifying 12c3 + 9c2 = 0 Reorder the terms: 9c2 + 12c3 = 0 Solving 9c2 + 12c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c2'. 3c2(3 + 4c) = 0 Ignore the factor 3.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 '(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 = -0.75Solution
c = {0, -0.75}
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