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Simplifying 8m2 + -11m + 7 = -6m + 10 Reorder the terms: 7 + -11m + 8m2 = -6m + 10 Reorder the terms: 7 + -11m + 8m2 = 10 + -6m Solving 7 + -11m + 8m2 = 10 + -6m Solving for variable 'm'. Reorder the terms: 7 + -10 + -11m + 6m + 8m2 = 10 + -6m + -10 + 6m Combine like terms: 7 + -10 = -3 -3 + -11m + 6m + 8m2 = 10 + -6m + -10 + 6m Combine like terms: -11m + 6m = -5m -3 + -5m + 8m2 = 10 + -6m + -10 + 6m Reorder the terms: -3 + -5m + 8m2 = 10 + -10 + -6m + 6m Combine like terms: 10 + -10 = 0 -3 + -5m + 8m2 = 0 + -6m + 6m -3 + -5m + 8m2 = -6m + 6m Combine like terms: -6m + 6m = 0 -3 + -5m + 8m2 = 0 Factor a trinomial. (-3 + -8m)(1 + -1m) = 0Subproblem 1
Set the factor '(-3 + -8m)' equal to zero and attempt to solve: Simplifying -3 + -8m = 0 Solving -3 + -8m = 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 + -8m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8m = 0 + 3 -8m = 0 + 3 Combine like terms: 0 + 3 = 3 -8m = 3 Divide each side by '-8'. m = -0.375 Simplifying m = -0.375Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {-0.375, 1}
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