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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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