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Simplifying 6m2 + -26 = -1m Reorder the terms: -26 + 6m2 = -1m Solving -26 + 6m2 = -1m Solving for variable 'm'. Reorder the terms: -26 + m + 6m2 = -1m + m Combine like terms: -1m + m = 0 -26 + m + 6m2 = 0 Factor a trinomial. (-13 + -6m)(2 + -1m) = 0Subproblem 1
Set the factor '(-13 + -6m)' equal to zero and attempt to solve: Simplifying -13 + -6m = 0 Solving -13 + -6m = 0 Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -6m = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -6m = 0 + 13 -6m = 0 + 13 Combine like terms: 0 + 13 = 13 -6m = 13 Divide each side by '-6'. m = -2.166666667 Simplifying m = -2.166666667Subproblem 2
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 = 2Solution
m = {-2.166666667, 2}
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