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Simplifying 4c(9c + 5) = 0 Reorder the terms: 4c(5 + 9c) = 0 (5 * 4c + 9c * 4c) = 0 (20c + 36c2) = 0 Solving 20c + 36c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c'. 4c(5 + 9c) = 0 Ignore the factor 4.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 + 9c)' equal to zero and attempt to solve: Simplifying 5 + 9c = 0 Solving 5 + 9c = 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 + 9c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9c = 0 + -5 9c = 0 + -5 Combine like terms: 0 + -5 = -5 9c = -5 Divide each side by '9'. c = -0.5555555556 Simplifying c = -0.5555555556Solution
c = {0, -0.5555555556}
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