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Simplifying 20m2 + 33m + 7 = 0 Reorder the terms: 7 + 33m + 20m2 = 0 Solving 7 + 33m + 20m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + 5m)(1 + 4m) = 0Subproblem 1
Set the factor '(7 + 5m)' equal to zero and attempt to solve: Simplifying 7 + 5m = 0 Solving 7 + 5m = 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 + 5m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5m = 0 + -7 5m = 0 + -7 Combine like terms: 0 + -7 = -7 5m = -7 Divide each side by '5'. m = -1.4 Simplifying m = -1.4Subproblem 2
Set the factor '(1 + 4m)' equal to zero and attempt to solve: Simplifying 1 + 4m = 0 Solving 1 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4m = 0 + -1 4m = 0 + -1 Combine like terms: 0 + -1 = -1 4m = -1 Divide each side by '4'. m = -0.25 Simplifying m = -0.25Solution
m = {-1.4, -0.25}
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