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Simplifying (2m + -9)(9 + -2m) = 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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