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Simplifying 40m2 + -7m + -20 = 0 Reorder the terms: -20 + -7m + 40m2 = 0 Solving -20 + -7m + 40m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -8m)(4 + -5m) = 0Subproblem 1
Set the factor '(-5 + -8m)' equal to zero and attempt to solve: Simplifying -5 + -8m = 0 Solving -5 + -8m = 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 + -8m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8m = 0 + 5 -8m = 0 + 5 Combine like terms: 0 + 5 = 5 -8m = 5 Divide each side by '-8'. m = -0.625 Simplifying m = -0.625Subproblem 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 = {-0.625, 0.8}
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