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Simplifying 5c(8c + -5) = 0 Reorder the terms: 5c(-5 + 8c) = 0 (-5 * 5c + 8c * 5c) = 0 (-25c + 40c2) = 0 Solving -25c + 40c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5c'. 5c(-5 + 8c) = 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 + 8c)' equal to zero and attempt to solve: Simplifying -5 + 8c = 0 Solving -5 + 8c = 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 + 8c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8c = 0 + 5 8c = 0 + 5 Combine like terms: 0 + 5 = 5 8c = 5 Divide each side by '8'. c = 0.625 Simplifying c = 0.625Solution
c = {0, 0.625}
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