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Simplifying 7m2 + -1 = -3m2 + -11m + 5 Reorder the terms: -1 + 7m2 = -3m2 + -11m + 5 Reorder the terms: -1 + 7m2 = 5 + -11m + -3m2 Solving -1 + 7m2 = 5 + -11m + -3m2 Solving for variable 'm'. Reorder the terms: -1 + -5 + 11m + 7m2 + 3m2 = 5 + -11m + -3m2 + -5 + 11m + 3m2 Combine like terms: -1 + -5 = -6 -6 + 11m + 7m2 + 3m2 = 5 + -11m + -3m2 + -5 + 11m + 3m2 Combine like terms: 7m2 + 3m2 = 10m2 -6 + 11m + 10m2 = 5 + -11m + -3m2 + -5 + 11m + 3m2 Reorder the terms: -6 + 11m + 10m2 = 5 + -5 + -11m + 11m + -3m2 + 3m2 Combine like terms: 5 + -5 = 0 -6 + 11m + 10m2 = 0 + -11m + 11m + -3m2 + 3m2 -6 + 11m + 10m2 = -11m + 11m + -3m2 + 3m2 Combine like terms: -11m + 11m = 0 -6 + 11m + 10m2 = 0 + -3m2 + 3m2 -6 + 11m + 10m2 = -3m2 + 3m2 Combine like terms: -3m2 + 3m2 = 0 -6 + 11m + 10m2 = 0 Factor a trinomial. (-3 + -2m)(2 + -5m) = 0Subproblem 1
Set the factor '(-3 + -2m)' equal to zero and attempt to solve: Simplifying -3 + -2m = 0 Solving -3 + -2m = 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 + -2m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2m = 0 + 3 -2m = 0 + 3 Combine like terms: 0 + 3 = 3 -2m = 3 Divide each side by '-2'. m = -1.5 Simplifying m = -1.5Subproblem 2
Set the factor '(2 + -5m)' equal to zero and attempt to solve: Simplifying 2 + -5m = 0 Solving 2 + -5m = 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 + -5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5m = 0 + -2 -5m = 0 + -2 Combine like terms: 0 + -2 = -2 -5m = -2 Divide each side by '-5'. m = 0.4 Simplifying m = 0.4Solution
m = {-1.5, 0.4}
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