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Simplifying 20m2 + -7m + -3 = 0 Reorder the terms: -3 + -7m + 20m2 = 0 Solving -3 + -7m + 20m2 = 0 Solving for variable 'm'. Factor a trinomial. (-1 + -4m)(3 + -5m) = 0Subproblem 1
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 = -0.25Subproblem 2
Set the factor '(3 + -5m)' equal to zero and attempt to solve: Simplifying 3 + -5m = 0 Solving 3 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5m = 0 + -3 -5m = 0 + -3 Combine like terms: 0 + -3 = -3 -5m = -3 Divide each side by '-5'. m = 0.6 Simplifying m = 0.6Solution
m = {-0.25, 0.6}
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