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Simplifying 0 = 3c(c + 14) Reorder the terms: 0 = 3c(14 + c) 0 = (14 * 3c + c * 3c) 0 = (42c + 3c2) Solving 0 = 42c + 3c2 Solving for variable 'c'. Remove the zero: -42c + -3c2 = 42c + 3c2 + -42c + -3c2 Reorder the terms: -42c + -3c2 = 42c + -42c + 3c2 + -3c2 Combine like terms: 42c + -42c = 0 -42c + -3c2 = 0 + 3c2 + -3c2 -42c + -3c2 = 3c2 + -3c2 Combine like terms: 3c2 + -3c2 = 0 -42c + -3c2 = 0 Factor out the Greatest Common Factor (GCF), '-3c'. -3c(14 + c) = 0 Ignore the factor -3.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 '(14 + c)' equal to zero and attempt to solve: Simplifying 14 + c = 0 Solving 14 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + c = 0 + -14 Combine like terms: 14 + -14 = 0 0 + c = 0 + -14 c = 0 + -14 Combine like terms: 0 + -14 = -14 c = -14 Simplifying c = -14Solution
c = {0, -14}
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