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Simplifying 12c3 + 15c2 = 0 Reorder the terms: 15c2 + 12c3 = 0 Solving 15c2 + 12c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c2'. 3c2(5 + 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 '(5 + 4c)' equal to zero and attempt to solve: Simplifying 5 + 4c = 0 Solving 5 + 4c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4c = 0 + -5 4c = 0 + -5 Combine like terms: 0 + -5 = -5 4c = -5 Divide each side by '4'. c = -1.25 Simplifying c = -1.25Solution
c = {0, -1.25}
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