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