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Simplifying 22m2 + -41m + 12 = 0 Reorder the terms: 12 + -41m + 22m2 = 0 Solving 12 + -41m + 22m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + -11m)(3 + -2m) = 0Subproblem 1
Set the factor '(4 + -11m)' equal to zero and attempt to solve: Simplifying 4 + -11m = 0 Solving 4 + -11m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -11m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11m = 0 + -4 -11m = 0 + -4 Combine like terms: 0 + -4 = -4 -11m = -4 Divide each side by '-11'. m = 0.3636363636 Simplifying m = 0.3636363636Subproblem 2
Set the factor '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 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 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Solution
m = {0.3636363636, 1.5}
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