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Simplifying 20m2 + -19m + -28 = 0 Reorder the terms: -28 + -19m + 20m2 = 0 Solving -28 + -19m + 20m2 = 0 Solving for variable 'm'. Factor a trinomial. (-4 + -5m)(7 + -4m) = 0Subproblem 1
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 = -0.8Subproblem 2
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 = 1.75Solution
m = {-0.8, 1.75}
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