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Simplifying 23c2 + 56c + 20 = 0 Reorder the terms: 20 + 56c + 23c2 = 0 Solving 20 + 56c + 23c2 = 0 Solving for variable 'c'. Factor a trinomial. (2 + c)(10 + 23c) = 0Subproblem 1
Set the factor '(2 + c)' equal to zero and attempt to solve: Simplifying 2 + c = 0 Solving 2 + c = 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 + c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + c = 0 + -2 c = 0 + -2 Combine like terms: 0 + -2 = -2 c = -2 Simplifying c = -2Subproblem 2
Set the factor '(10 + 23c)' equal to zero and attempt to solve: Simplifying 10 + 23c = 0 Solving 10 + 23c = 0 Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 23c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 23c = 0 + -10 23c = 0 + -10 Combine like terms: 0 + -10 = -10 23c = -10 Divide each side by '23'. c = -0.4347826087 Simplifying c = -0.4347826087Solution
c = {-2, -0.4347826087}
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