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Simplifying (1 + -1m) * x2 + 2(m + -1) * x + 3 + -1m = 0 Reorder the terms for easier multiplication: x2(1 + -1m) + 2(m + -1) * x + 3 + -1m = 0 (1 * x2 + -1m * x2) + 2(m + -1) * x + 3 + -1m = 0 Reorder the terms: (-1mx2 + 1x2) + 2(m + -1) * x + 3 + -1m = 0 (-1mx2 + 1x2) + 2(m + -1) * x + 3 + -1m = 0 Reorder the terms: -1mx2 + 1x2 + 2(-1 + m) * x + 3 + -1m = 0 Reorder the terms for easier multiplication: -1mx2 + 1x2 + 2x(-1 + m) + 3 + -1m = 0 -1mx2 + 1x2 + (-1 * 2x + m * 2x) + 3 + -1m = 0 Reorder the terms: -1mx2 + 1x2 + (2mx + -2x) + 3 + -1m = 0 -1mx2 + 1x2 + (2mx + -2x) + 3 + -1m = 0 Reorder the terms: 3 + -1m + 2mx + -1mx2 + -2x + 1x2 = 0 Solving 3 + -1m + 2mx + -1mx2 + -2x + 1x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1m + 2mx + -1mx2 + -2x + -3 + 1x2 = 0 + -3 Reorder the terms: 3 + -3 + -1m + 2mx + -1mx2 + -2x + 1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m + 2mx + -1mx2 + -2x + 1x2 = 0 + -3 -1m + 2mx + -1mx2 + -2x + 1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1m + 2mx + -1mx2 + -2x + 1x2 = -3 Add '2x' to each side of the equation. -1m + 2mx + -1mx2 + -2x + 2x + 1x2 = -3 + 2x Combine like terms: -2x + 2x = 0 -1m + 2mx + -1mx2 + 0 + 1x2 = -3 + 2x -1m + 2mx + -1mx2 + 1x2 = -3 + 2x Add '-1x2' to each side of the equation. -1m + 2mx + -1mx2 + 1x2 + -1x2 = -3 + 2x + -1x2 Combine like terms: 1x2 + -1x2 = 0 -1m + 2mx + -1mx2 + 0 = -3 + 2x + -1x2 -1m + 2mx + -1mx2 = -3 + 2x + -1x2 Reorder the terms: 3 + -1m + 2mx + -1mx2 + -2x + x2 = -3 + 2x + -1x2 + 3 + -2x + x2 Reorder the terms: 3 + -1m + 2mx + -1mx2 + -2x + x2 = -3 + 3 + 2x + -2x + -1x2 + x2 Combine like terms: -3 + 3 = 0 3 + -1m + 2mx + -1mx2 + -2x + x2 = 0 + 2x + -2x + -1x2 + x2 3 + -1m + 2mx + -1mx2 + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 3 + -1m + 2mx + -1mx2 + -2x + x2 = 0 + -1x2 + x2 3 + -1m + 2mx + -1mx2 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 3 + -1m + 2mx + -1mx2 + -2x + x2 = 0 The solution to this equation could not be determined.
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