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Simplifying 20m2 + 41m = -20 Reorder the terms: 41m + 20m2 = -20 Solving 41m + 20m2 = -20 Solving for variable 'm'. Reorder the terms: 20 + 41m + 20m2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 41m + 20m2 = 0 Factor a trinomial. (5 + 4m)(4 + 5m) = 0Subproblem 1
Set the factor '(5 + 4m)' equal to zero and attempt to solve: Simplifying 5 + 4m = 0 Solving 5 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4m = 0 + -5 4m = 0 + -5 Combine like terms: 0 + -5 = -5 4m = -5 Divide each side by '4'. m = -1.25 Simplifying m = -1.25Subproblem 2
Set the factor '(4 + 5m)' equal to zero and attempt to solve: Simplifying 4 + 5m = 0 Solving 4 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5m = 0 + -4 5m = 0 + -4 Combine like terms: 0 + -4 = -4 5m = -4 Divide each side by '5'. m = -0.8 Simplifying m = -0.8Solution
m = {-1.25, -0.8}
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