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Simplifying x2 + -1(3m + -1) * x + 2 = 0 Reorder the terms: x2 + -1(-1 + 3m) * x + 2 = 0 Reorder the terms for easier multiplication: x2 + -1x(-1 + 3m) + 2 = 0 x2 + (-1 * -1x + 3m * -1x) + 2 = 0 Reorder the terms: x2 + (-3mx + 1x) + 2 = 0 x2 + (-3mx + 1x) + 2 = 0 Reorder the terms: 2 + -3mx + 1x + x2 = 0 Solving 2 + -3mx + 1x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3mx + 1x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -3mx + 1x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3mx + 1x + x2 = 0 + -2 -3mx + 1x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3mx + 1x + x2 = -2 Add '-1x' to each side of the equation. -3mx + 1x + -1x + x2 = -2 + -1x Combine like terms: 1x + -1x = 0 -3mx + 0 + x2 = -2 + -1x -3mx + x2 = -2 + -1x Add '-1x2' to each side of the equation. -3mx + x2 + -1x2 = -2 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 -3mx + 0 = -2 + -1x + -1x2 -3mx = -2 + -1x + -1x2 Divide each side by '-3x'. m = 0.6666666667x-1 + 0.3333333333 + 0.3333333333x Simplifying m = 0.6666666667x-1 + 0.3333333333 + 0.3333333333x Reorder the terms: m = 0.3333333333 + 0.6666666667x-1 + 0.3333333333x
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