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Simplifying 9c3 + -12c2 = 0 Reorder the terms: -12c2 + 9c3 = 0 Solving -12c2 + 9c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c2'. 3c2(-4 + 3c) = 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 '(-4 + 3c)' equal to zero and attempt to solve: Simplifying -4 + 3c = 0 Solving -4 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3c = 0 + 4 3c = 0 + 4 Combine like terms: 0 + 4 = 4 3c = 4 Divide each side by '3'. c = 1.333333333 Simplifying c = 1.333333333Solution
c = {0, 1.333333333}
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