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Simplifying 5c + 20c2 + 20c2 = 0 Combine like terms: 20c2 + 20c2 = 40c2 5c + 40c2 = 0 Solving 5c + 40c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5c'. 5c(1 + 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 '(1 + 8c)' equal to zero and attempt to solve: Simplifying 1 + 8c = 0 Solving 1 + 8c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8c = 0 + -1 8c = 0 + -1 Combine like terms: 0 + -1 = -1 8c = -1 Divide each side by '8'. c = -0.125 Simplifying c = -0.125Solution
c = {0, -0.125}
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