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Simplifying 6m2 + -1m + -127 = -10 Reorder the terms: -127 + -1m + 6m2 = -10 Solving -127 + -1m + 6m2 = -10 Solving for variable 'm'. Reorder the terms: -127 + 10 + -1m + 6m2 = -10 + 10 Combine like terms: -127 + 10 = -117 -117 + -1m + 6m2 = -10 + 10 Combine like terms: -10 + 10 = 0 -117 + -1m + 6m2 = 0 Factor a trinomial. (-13 + -3m)(9 + -2m) = 0Subproblem 1
Set the factor '(-13 + -3m)' equal to zero and attempt to solve: Simplifying -13 + -3m = 0 Solving -13 + -3m = 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 + -3m = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3m = 0 + 13 -3m = 0 + 13 Combine like terms: 0 + 13 = 13 -3m = 13 Divide each side by '-3'. m = -4.333333333 Simplifying m = -4.333333333Subproblem 2
Set the factor '(9 + -2m)' equal to zero and attempt to solve: Simplifying 9 + -2m = 0 Solving 9 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2m = 0 + -9 -2m = 0 + -9 Combine like terms: 0 + -9 = -9 -2m = -9 Divide each side by '-2'. m = 4.5 Simplifying m = 4.5Solution
m = {-4.333333333, 4.5}
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