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