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Simplifying 15c3 + -6c2 = 0 Reorder the terms: -6c2 + 15c3 = 0 Solving -6c2 + 15c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c2'. 3c2(-2 + 5c) = 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 '(-2 + 5c)' equal to zero and attempt to solve: Simplifying -2 + 5c = 0 Solving -2 + 5c = 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 + 5c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5c = 0 + 2 5c = 0 + 2 Combine like terms: 0 + 2 = 2 5c = 2 Divide each side by '5'. c = 0.4 Simplifying c = 0.4Solution
c = {0, 0.4}
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