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Simplifying -4c(-81c + 5c + 8) = 0 Reorder the terms: -4c(8 + -81c + 5c) = 0 Combine like terms: -81c + 5c = -76c -4c(8 + -76c) = 0 (8 * -4c + -76c * -4c) = 0 (-32c + 304c2) = 0 Solving -32c + 304c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '16c'. 16c(-2 + 19c) = 0 Ignore the factor 16.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 '(-2 + 19c)' equal to zero and attempt to solve: Simplifying -2 + 19c = 0 Solving -2 + 19c = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 19c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 19c = 0 + 2 19c = 0 + 2 Combine like terms: 0 + 2 = 2 19c = 2 Divide each side by '19'. c = 0.1052631579 Simplifying c = 0.1052631579Solution
c = {0, 0.1052631579}
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