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Simplifying (2m + -9)(2m + -9) = 0 Reorder the terms: (-9 + 2m)(2m + -9) = 0 Reorder the terms: (-9 + 2m)(-9 + 2m) = 0 Multiply (-9 + 2m) * (-9 + 2m) (-9(-9 + 2m) + 2m * (-9 + 2m)) = 0 ((-9 * -9 + 2m * -9) + 2m * (-9 + 2m)) = 0 ((81 + -18m) + 2m * (-9 + 2m)) = 0 (81 + -18m + (-9 * 2m + 2m * 2m)) = 0 (81 + -18m + (-18m + 4m2)) = 0 Combine like terms: -18m + -18m = -36m (81 + -36m + 4m2) = 0 Solving 81 + -36m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (9 + -2m)(9 + -2m) = 0Subproblem 1
Set the factor '(9 + -2m)' equal to zero and attempt to solve: Simplifying 9 + -2m = 0 Solving 9 + -2m = 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 + -2m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2m = 0 + -9 -2m = 0 + -9 Combine like terms: 0 + -9 = -9 -2m = -9 Divide each side by '-2'. m = 4.5 Simplifying m = 4.5Subproblem 2
Set the factor '(9 + -2m)' equal to zero and attempt to solve: Simplifying 9 + -2m = 0 Solving 9 + -2m = 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 + -2m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2m = 0 + -9 -2m = 0 + -9 Combine like terms: 0 + -9 = -9 -2m = -9 Divide each side by '-2'. m = 4.5 Simplifying m = 4.5Solution
m = {4.5, 4.5}
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