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Simplifying 36m2 + -84m + 49 = 0 Reorder the terms: 49 + -84m + 36m2 = 0 Solving 49 + -84m + 36m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + -6m)(7 + -6m) = 0Subproblem 1
Set the factor '(7 + -6m)' equal to zero and attempt to solve: Simplifying 7 + -6m = 0 Solving 7 + -6m = 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 + -6m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6m = 0 + -7 -6m = 0 + -7 Combine like terms: 0 + -7 = -7 -6m = -7 Divide each side by '-6'. m = 1.166666667 Simplifying m = 1.166666667Subproblem 2
Set the factor '(7 + -6m)' equal to zero and attempt to solve: Simplifying 7 + -6m = 0 Solving 7 + -6m = 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 + -6m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6m = 0 + -7 -6m = 0 + -7 Combine like terms: 0 + -7 = -7 -6m = -7 Divide each side by '-6'. m = 1.166666667 Simplifying m = 1.166666667Solution
m = {1.166666667, 1.166666667}
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