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Simplifying 91m2 + m + -2 = 0 Reorder the terms: -2 + m + 91m2 = 0 Solving -2 + m + 91m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -13m)(1 + -7m) = 0Subproblem 1
Set the factor '(-2 + -13m)' equal to zero and attempt to solve: Simplifying -2 + -13m = 0 Solving -2 + -13m = 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 + -13m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -13m = 0 + 2 -13m = 0 + 2 Combine like terms: 0 + 2 = 2 -13m = 2 Divide each side by '-13'. m = -0.1538461538 Simplifying m = -0.1538461538Subproblem 2
Set the factor '(1 + -7m)' equal to zero and attempt to solve: Simplifying 1 + -7m = 0 Solving 1 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7m = 0 + -1 -7m = 0 + -1 Combine like terms: 0 + -1 = -1 -7m = -1 Divide each side by '-7'. m = 0.1428571429 Simplifying m = 0.1428571429Solution
m = {-0.1538461538, 0.1428571429}
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