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Simplifying (1m + -1)(4m + -9) = 0 Reorder the terms: (-1 + 1m)(4m + -9) = 0 Reorder the terms: (-1 + 1m)(-9 + 4m) = 0 Multiply (-1 + 1m) * (-9 + 4m) (-1(-9 + 4m) + 1m * (-9 + 4m)) = 0 ((-9 * -1 + 4m * -1) + 1m * (-9 + 4m)) = 0 ((9 + -4m) + 1m * (-9 + 4m)) = 0 (9 + -4m + (-9 * 1m + 4m * 1m)) = 0 (9 + -4m + (-9m + 4m2)) = 0 Combine like terms: -4m + -9m = -13m (9 + -13m + 4m2) = 0 Solving 9 + -13m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + -1m)(9 + -4m) = 0Subproblem 1
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Subproblem 2
Set the factor '(9 + -4m)' equal to zero and attempt to solve: Simplifying 9 + -4m = 0 Solving 9 + -4m = 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 + -4m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4m = 0 + -9 -4m = 0 + -9 Combine like terms: 0 + -9 = -9 -4m = -9 Divide each side by '-4'. m = 2.25 Simplifying m = 2.25Solution
m = {1, 2.25}
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