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Simplifying 7m2 + -36m + 44 = 0 Reorder the terms: 44 + -36m + 7m2 = 0 Solving 44 + -36m + 7m2 = 0 Solving for variable 'm'. Factor a trinomial. (2 + -1m)(22 + -7m) = 0Subproblem 1
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Subproblem 2
Set the factor '(22 + -7m)' equal to zero and attempt to solve: Simplifying 22 + -7m = 0 Solving 22 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -7m = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -7m = 0 + -22 -7m = 0 + -22 Combine like terms: 0 + -22 = -22 -7m = -22 Divide each side by '-7'. m = 3.142857143 Simplifying m = 3.142857143Solution
m = {2, 3.142857143}
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