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Simplifying x2 + -1(2m + -1) * x + 3m + 2 = 0 Reorder the terms: x2 + -1(-1 + 2m) * x + 3m + 2 = 0 Reorder the terms for easier multiplication: x2 + -1x(-1 + 2m) + 3m + 2 = 0 x2 + (-1 * -1x + 2m * -1x) + 3m + 2 = 0 Reorder the terms: x2 + (-2mx + 1x) + 3m + 2 = 0 x2 + (-2mx + 1x) + 3m + 2 = 0 Reorder the terms: 2 + 3m + -2mx + 1x + x2 = 0 Solving 2 + 3m + -2mx + 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 + 3m + -2mx + 1x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 3m + -2mx + 1x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3m + -2mx + 1x + x2 = 0 + -2 3m + -2mx + 1x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 3m + -2mx + 1x + x2 = -2 Add '-1x' to each side of the equation. 3m + -2mx + 1x + -1x + x2 = -2 + -1x Combine like terms: 1x + -1x = 0 3m + -2mx + 0 + x2 = -2 + -1x 3m + -2mx + x2 = -2 + -1x Add '-1x2' to each side of the equation. 3m + -2mx + x2 + -1x2 = -2 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 3m + -2mx + 0 = -2 + -1x + -1x2 3m + -2mx = -2 + -1x + -1x2 Reorder the terms: 2 + 3m + -2mx + x + x2 = -2 + -1x + -1x2 + 2 + x + x2 Reorder the terms: 2 + 3m + -2mx + x + x2 = -2 + 2 + -1x + x + -1x2 + x2 Combine like terms: -2 + 2 = 0 2 + 3m + -2mx + x + x2 = 0 + -1x + x + -1x2 + x2 2 + 3m + -2mx + x + x2 = -1x + x + -1x2 + x2 Combine like terms: -1x + x = 0 2 + 3m + -2mx + x + x2 = 0 + -1x2 + x2 2 + 3m + -2mx + x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2 + 3m + -2mx + x + x2 = 0 The solution to this equation could not be determined.
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