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Simplifying m2 = 6m + -9 Reorder the terms: m2 = -9 + 6m Solving m2 = -9 + 6m Solving for variable 'm'. Reorder the terms: 9 + -6m + m2 = -9 + 6m + 9 + -6m Reorder the terms: 9 + -6m + m2 = -9 + 9 + 6m + -6m Combine like terms: -9 + 9 = 0 9 + -6m + m2 = 0 + 6m + -6m 9 + -6m + m2 = 6m + -6m Combine like terms: 6m + -6m = 0 9 + -6m + m2 = 0 Factor a trinomial. (3 + -1m)(3 + -1m) = 0Subproblem 1
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {3, 3}
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