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Simplifying (2m + -7)(4m + 5) = 0 Reorder the terms: (-7 + 2m)(4m + 5) = 0 Reorder the terms: (-7 + 2m)(5 + 4m) = 0 Multiply (-7 + 2m) * (5 + 4m) (-7(5 + 4m) + 2m * (5 + 4m)) = 0 ((5 * -7 + 4m * -7) + 2m * (5 + 4m)) = 0 ((-35 + -28m) + 2m * (5 + 4m)) = 0 (-35 + -28m + (5 * 2m + 4m * 2m)) = 0 (-35 + -28m + (10m + 8m2)) = 0 Combine like terms: -28m + 10m = -18m (-35 + -18m + 8m2) = 0 Solving -35 + -18m + 8m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -4m)(7 + -2m) = 0Subproblem 1
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 = -1.25Subproblem 2
Set the factor '(7 + -2m)' equal to zero and attempt to solve: Simplifying 7 + -2m = 0 Solving 7 + -2m = 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 + -2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = 0 + -7 -2m = 0 + -7 Combine like terms: 0 + -7 = -7 -2m = -7 Divide each side by '-2'. m = 3.5 Simplifying m = 3.5Solution
m = {-1.25, 3.5}
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