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Simplifying (5m + -9)(m + -2) = 0 Reorder the terms: (-9 + 5m)(m + -2) = 0 Reorder the terms: (-9 + 5m)(-2 + m) = 0 Multiply (-9 + 5m) * (-2 + m) (-9(-2 + m) + 5m * (-2 + m)) = 0 ((-2 * -9 + m * -9) + 5m * (-2 + m)) = 0 ((18 + -9m) + 5m * (-2 + m)) = 0 (18 + -9m + (-2 * 5m + m * 5m)) = 0 (18 + -9m + (-10m + 5m2)) = 0 Combine like terms: -9m + -10m = -19m (18 + -19m + 5m2) = 0 Solving 18 + -19m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (9 + -5m)(2 + -1m) = 0Subproblem 1
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 = 1.8Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 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 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {1.8, 2}
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