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Simplifying (4m + -9)(m + -8) = 0 Reorder the terms: (-9 + 4m)(m + -8) = 0 Reorder the terms: (-9 + 4m)(-8 + m) = 0 Multiply (-9 + 4m) * (-8 + m) (-9(-8 + m) + 4m * (-8 + m)) = 0 ((-8 * -9 + m * -9) + 4m * (-8 + m)) = 0 ((72 + -9m) + 4m * (-8 + m)) = 0 (72 + -9m + (-8 * 4m + m * 4m)) = 0 (72 + -9m + (-32m + 4m2)) = 0 Combine like terms: -9m + -32m = -41m (72 + -41m + 4m2) = 0 Solving 72 + -41m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (9 + -4m)(8 + -1m) = 0Subproblem 1
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 = 2.25Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {2.25, 8}
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