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Simplifying (4m + -9)(4m + -9) = 0 Reorder the terms: (-9 + 4m)(4m + -9) = 0 Reorder the terms: (-9 + 4m)(-9 + 4m) = 0 Multiply (-9 + 4m) * (-9 + 4m) (-9(-9 + 4m) + 4m * (-9 + 4m)) = 0 ((-9 * -9 + 4m * -9) + 4m * (-9 + 4m)) = 0 ((81 + -36m) + 4m * (-9 + 4m)) = 0 (81 + -36m + (-9 * 4m + 4m * 4m)) = 0 (81 + -36m + (-36m + 16m2)) = 0 Combine like terms: -36m + -36m = -72m (81 + -72m + 16m2) = 0 Solving 81 + -72m + 16m2 = 0 Solving for variable 'm'. Factor a trinomial. (9 + -4m)(9 + -4m) = 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 '(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 = {2.25, 2.25}
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