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Simplifying (5m + -9)(4m + 5) = 0 Reorder the terms: (-9 + 5m)(4m + 5) = 0 Reorder the terms: (-9 + 5m)(5 + 4m) = 0 Multiply (-9 + 5m) * (5 + 4m) (-9(5 + 4m) + 5m * (5 + 4m)) = 0 ((5 * -9 + 4m * -9) + 5m * (5 + 4m)) = 0 ((-45 + -36m) + 5m * (5 + 4m)) = 0 (-45 + -36m + (5 * 5m + 4m * 5m)) = 0 (-45 + -36m + (25m + 20m2)) = 0 Combine like terms: -36m + 25m = -11m (-45 + -11m + 20m2) = 0 Solving -45 + -11m + 20m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -4m)(9 + -5m) = 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 '(9 + -5m)' equal to zero and attempt to solve: Simplifying 9 + -5m = 0 Solving 9 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5m = 0 + -9 -5m = 0 + -9 Combine like terms: 0 + -9 = -9 -5m = -9 Divide each side by '-5'. m = 1.8 Simplifying m = 1.8Solution
m = {-1.25, 1.8}
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