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Simplifying 200c2 + 80c + 8 = 0 Reorder the terms: 8 + 80c + 200c2 = 0 Solving 8 + 80c + 200c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '8'. 8(1 + 10c + 25c2) = 0 Factor a trinomial. 8((1 + 5c)(1 + 5c)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(1 + 5c)' equal to zero and attempt to solve: Simplifying 1 + 5c = 0 Solving 1 + 5c = 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 + 5c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5c = 0 + -1 5c = 0 + -1 Combine like terms: 0 + -1 = -1 5c = -1 Divide each side by '5'. c = -0.2 Simplifying c = -0.2Subproblem 2
Set the factor '(1 + 5c)' equal to zero and attempt to solve: Simplifying 1 + 5c = 0 Solving 1 + 5c = 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 + 5c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5c = 0 + -1 5c = 0 + -1 Combine like terms: 0 + -1 = -1 5c = -1 Divide each side by '5'. c = -0.2 Simplifying c = -0.2Solution
c = {-0.2, -0.2}
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