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Simplifying (2m + 5)(4m + -7) = 0 Reorder the terms: (5 + 2m)(4m + -7) = 0 Reorder the terms: (5 + 2m)(-7 + 4m) = 0 Multiply (5 + 2m) * (-7 + 4m) (5(-7 + 4m) + 2m * (-7 + 4m)) = 0 ((-7 * 5 + 4m * 5) + 2m * (-7 + 4m)) = 0 ((-35 + 20m) + 2m * (-7 + 4m)) = 0 (-35 + 20m + (-7 * 2m + 4m * 2m)) = 0 (-35 + 20m + (-14m + 8m2)) = 0 Combine like terms: 20m + -14m = 6m (-35 + 6m + 8m2) = 0 Solving -35 + 6m + 8m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -2m)(7 + -4m) = 0Subproblem 1
Set the factor '(-5 + -2m)' equal to zero and attempt to solve: Simplifying -5 + -2m = 0 Solving -5 + -2m = 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 + -2m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2m = 0 + 5 -2m = 0 + 5 Combine like terms: 0 + 5 = 5 -2m = 5 Divide each side by '-2'. m = -2.5 Simplifying m = -2.5Subproblem 2
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 = 1.75Solution
m = {-2.5, 1.75}
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