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Simplifying (5m + -9)(m + -9) = 0 Reorder the terms: (-9 + 5m)(m + -9) = 0 Reorder the terms: (-9 + 5m)(-9 + m) = 0 Multiply (-9 + 5m) * (-9 + m) (-9(-9 + m) + 5m * (-9 + m)) = 0 ((-9 * -9 + m * -9) + 5m * (-9 + m)) = 0 ((81 + -9m) + 5m * (-9 + m)) = 0 (81 + -9m + (-9 * 5m + m * 5m)) = 0 (81 + -9m + (-45m + 5m2)) = 0 Combine like terms: -9m + -45m = -54m (81 + -54m + 5m2) = 0 Solving 81 + -54m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (9 + -5m)(9 + -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 '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 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 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9Solution
m = {1.8, 9}
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