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Simplifying 3c(5)(c + 2) = 0 Reorder the terms: 3c * 5(2 + c) = 0 Reorder the terms for easier multiplication: 3 * 5c(2 + c) = 0 Multiply 3 * 5 15c(2 + c) = 0 (2 * 15c + c * 15c) = 0 (30c + 15c2) = 0 Solving 30c + 15c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '15c'. 15c(2 + c) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(2 + c)' equal to zero and attempt to solve: Simplifying 2 + c = 0 Solving 2 + c = 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 + c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + c = 0 + -2 c = 0 + -2 Combine like terms: 0 + -2 = -2 c = -2 Simplifying c = -2Solution
c = {0, -2}
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