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Simplifying 5c(6c + 5) = 0 Reorder the terms: 5c(5 + 6c) = 0 (5 * 5c + 6c * 5c) = 0 (25c + 30c2) = 0 Solving 25c + 30c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5c'. 5c(5 + 6c) = 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 '(5 + 6c)' equal to zero and attempt to solve: Simplifying 5 + 6c = 0 Solving 5 + 6c = 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 + 6c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6c = 0 + -5 6c = 0 + -5 Combine like terms: 0 + -5 = -5 6c = -5 Divide each side by '6'. c = -0.8333333333 Simplifying c = -0.8333333333Solution
c = {0, -0.8333333333}
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