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