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Simplifying 11m2 + -54m + 63 = 0 Reorder the terms: 63 + -54m + 11m2 = 0 Solving 63 + -54m + 11m2 = 0 Solving for variable 'm'. Factor a trinomial. (21 + -11m)(3 + -1m) = 0Subproblem 1
Set the factor '(21 + -11m)' equal to zero and attempt to solve: Simplifying 21 + -11m = 0 Solving 21 + -11m = 0 Move all terms containing m to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -11m = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -11m = 0 + -21 -11m = 0 + -21 Combine like terms: 0 + -21 = -21 -11m = -21 Divide each side by '-11'. m = 1.909090909 Simplifying m = 1.909090909Subproblem 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 = {1.909090909, 3}
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