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Simplifying (2m + 1)(4m + -5) = 0 Reorder the terms: (1 + 2m)(4m + -5) = 0 Reorder the terms: (1 + 2m)(-5 + 4m) = 0 Multiply (1 + 2m) * (-5 + 4m) (1(-5 + 4m) + 2m * (-5 + 4m)) = 0 ((-5 * 1 + 4m * 1) + 2m * (-5 + 4m)) = 0 ((-5 + 4m) + 2m * (-5 + 4m)) = 0 (-5 + 4m + (-5 * 2m + 4m * 2m)) = 0 (-5 + 4m + (-10m + 8m2)) = 0 Combine like terms: 4m + -10m = -6m (-5 + -6m + 8m2) = 0 Solving -5 + -6m + 8m2 = 0 Solving for variable 'm'. Factor a trinomial. (-1 + -2m)(5 + -4m) = 0Subproblem 1
Set the factor '(-1 + -2m)' equal to zero and attempt to solve: Simplifying -1 + -2m = 0 Solving -1 + -2m = 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 + -2m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2m = 0 + 1 -2m = 0 + 1 Combine like terms: 0 + 1 = 1 -2m = 1 Divide each side by '-2'. m = -0.5 Simplifying m = -0.5Subproblem 2
Set the factor '(5 + -4m)' equal to zero and attempt to solve: Simplifying 5 + -4m = 0 Solving 5 + -4m = 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 + -4m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4m = 0 + -5 -4m = 0 + -5 Combine like terms: 0 + -5 = -5 -4m = -5 Divide each side by '-4'. m = 1.25 Simplifying m = 1.25Solution
m = {-0.5, 1.25}
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