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Simplifying 22m2 + -85m + 28 = 0 Reorder the terms: 28 + -85m + 22m2 = 0 Solving 28 + -85m + 22m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + -11m)(7 + -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 '(7 + -2m)' equal to zero and attempt to solve: Simplifying 7 + -2m = 0 Solving 7 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = 0 + -7 -2m = 0 + -7 Combine like terms: 0 + -7 = -7 -2m = -7 Divide each side by '-2'. m = 3.5 Simplifying m = 3.5Solution
m = {0.3636363636, 3.5}
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