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Simplifying 5c(12c + 7) = 0 Reorder the terms: 5c(7 + 12c) = 0 (7 * 5c + 12c * 5c) = 0 (35c + 60c2) = 0 Solving 35c + 60c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5c'. 5c(7 + 12c) = 0 Ignore the factor 5.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 '(7 + 12c)' equal to zero and attempt to solve: Simplifying 7 + 12c = 0 Solving 7 + 12c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 12c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 12c = 0 + -7 12c = 0 + -7 Combine like terms: 0 + -7 = -7 12c = -7 Divide each side by '12'. c = -0.5833333333 Simplifying c = -0.5833333333Solution
c = {0, -0.5833333333}
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