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Simplifying (5m + -2)(4m + 7) = 0 Reorder the terms: (-2 + 5m)(4m + 7) = 0 Reorder the terms: (-2 + 5m)(7 + 4m) = 0 Multiply (-2 + 5m) * (7 + 4m) (-2(7 + 4m) + 5m * (7 + 4m)) = 0 ((7 * -2 + 4m * -2) + 5m * (7 + 4m)) = 0 ((-14 + -8m) + 5m * (7 + 4m)) = 0 (-14 + -8m + (7 * 5m + 4m * 5m)) = 0 (-14 + -8m + (35m + 20m2)) = 0 Combine like terms: -8m + 35m = 27m (-14 + 27m + 20m2) = 0 Solving -14 + 27m + 20m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -4m)(2 + -5m) = 0Subproblem 1
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 = -1.75Subproblem 2
Set the factor '(2 + -5m)' equal to zero and attempt to solve: Simplifying 2 + -5m = 0 Solving 2 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5m = 0 + -2 -5m = 0 + -2 Combine like terms: 0 + -2 = -2 -5m = -2 Divide each side by '-5'. m = 0.4 Simplifying m = 0.4Solution
m = {-1.75, 0.4}
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