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Simplifying (2m + -1)(5m + 4) = 0 Reorder the terms: (-1 + 2m)(5m + 4) = 0 Reorder the terms: (-1 + 2m)(4 + 5m) = 0 Multiply (-1 + 2m) * (4 + 5m) (-1(4 + 5m) + 2m * (4 + 5m)) = 0 ((4 * -1 + 5m * -1) + 2m * (4 + 5m)) = 0 ((-4 + -5m) + 2m * (4 + 5m)) = 0 (-4 + -5m + (4 * 2m + 5m * 2m)) = 0 (-4 + -5m + (8m + 10m2)) = 0 Combine like terms: -5m + 8m = 3m (-4 + 3m + 10m2) = 0 Solving -4 + 3m + 10m2 = 0 Solving for variable 'm'. Factor a trinomial. (-4 + -5m)(1 + -2m) = 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 '(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 = 0.5Solution
m = {-0.8, 0.5}
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