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Simplifying 80m2 + -103m + -40 = 0 Reorder the terms: -40 + -103m + 80m2 = 0 Solving -40 + -103m + 80m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -16m)(8 + -5m) = 0Subproblem 1
Set the factor '(-5 + -16m)' equal to zero and attempt to solve: Simplifying -5 + -16m = 0 Solving -5 + -16m = 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 + -16m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -16m = 0 + 5 -16m = 0 + 5 Combine like terms: 0 + 5 = 5 -16m = 5 Divide each side by '-16'. m = -0.3125 Simplifying m = -0.3125Subproblem 2
Set the factor '(8 + -5m)' equal to zero and attempt to solve: Simplifying 8 + -5m = 0 Solving 8 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5m = 0 + -8 -5m = 0 + -8 Combine like terms: 0 + -8 = -8 -5m = -8 Divide each side by '-5'. m = 1.6 Simplifying m = 1.6Solution
m = {-0.3125, 1.6}
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