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