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Simplifying 20m2 + 43m + 14 = 0 Reorder the terms: 14 + 43m + 20m2 = 0 Solving 14 + 43m + 20m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + 4m)(2 + 5m) = 0Subproblem 1
Set the factor '(7 + 4m)' equal to zero and attempt to solve: Simplifying 7 + 4m = 0 Solving 7 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4m = 0 + -7 4m = 0 + -7 Combine like terms: 0 + -7 = -7 4m = -7 Divide each side by '4'. m = -1.75 Simplifying m = -1.75Subproblem 2
Set the factor '(2 + 5m)' equal to zero and attempt to solve: Simplifying 2 + 5m = 0 Solving 2 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5m = 0 + -2 5m = 0 + -2 Combine like terms: 0 + -2 = -2 5m = -2 Divide each side by '5'. m = -0.4 Simplifying m = -0.4Solution
m = {-1.75, -0.4}
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