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Simplifying 9m2 + -67m + 28 = 0 Reorder the terms: 28 + -67m + 9m2 = 0 Solving 28 + -67m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + -9m)(7 + -1m) = 0Subproblem 1
Set the factor '(4 + -9m)' equal to zero and attempt to solve: Simplifying 4 + -9m = 0 Solving 4 + -9m = 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 + -9m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9m = 0 + -4 -9m = 0 + -4 Combine like terms: 0 + -4 = -4 -9m = -4 Divide each side by '-9'. m = 0.4444444444 Simplifying m = 0.4444444444Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 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 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {0.4444444444, 7}
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