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Simplifying 5c(13c + 8) = 0 Reorder the terms: 5c(8 + 13c) = 0 (8 * 5c + 13c * 5c) = 0 (40c + 65c2) = 0 Solving 40c + 65c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5c'. 5c(8 + 13c) = 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 '(8 + 13c)' equal to zero and attempt to solve: Simplifying 8 + 13c = 0 Solving 8 + 13c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 13c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 13c = 0 + -8 13c = 0 + -8 Combine like terms: 0 + -8 = -8 13c = -8 Divide each side by '13'. c = -0.6153846154 Simplifying c = -0.6153846154Solution
c = {0, -0.6153846154}
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