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Simplifying 48m2 + -119m + -24 = 0 Reorder the terms: -24 + -119m + 48m2 = 0 Solving -24 + -119m + 48m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -16m)(8 + -3m) = 0Subproblem 1
Set the factor '(-3 + -16m)' equal to zero and attempt to solve: Simplifying -3 + -16m = 0 Solving -3 + -16m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -16m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -16m = 0 + 3 -16m = 0 + 3 Combine like terms: 0 + 3 = 3 -16m = 3 Divide each side by '-16'. m = -0.1875 Simplifying m = -0.1875Subproblem 2
Set the factor '(8 + -3m)' equal to zero and attempt to solve: Simplifying 8 + -3m = 0 Solving 8 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3m = 0 + -8 -3m = 0 + -8 Combine like terms: 0 + -8 = -8 -3m = -8 Divide each side by '-3'. m = 2.666666667 Simplifying m = 2.666666667Solution
m = {-0.1875, 2.666666667}
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