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Simplifying 2m2 + -9m + -26 = 0 Reorder the terms: -26 + -9m + 2m2 = 0 Solving -26 + -9m + 2m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -1m)(13 + -2m) = 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 '(13 + -2m)' equal to zero and attempt to solve: Simplifying 13 + -2m = 0 Solving 13 + -2m = 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 + -2m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2m = 0 + -13 -2m = 0 + -13 Combine like terms: 0 + -13 = -13 -2m = -13 Divide each side by '-2'. m = 6.5 Simplifying m = 6.5Solution
m = {-2, 6.5}
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