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Simplifying (m + -1) * x2 + -1(4m + 3) * x + 4m + 1 = 0 Reorder the terms: (-1 + m) * x2 + -1(4m + 3) * x + 4m + 1 = 0 Reorder the terms for easier multiplication: x2(-1 + m) + -1(4m + 3) * x + 4m + 1 = 0 (-1 * x2 + m * x2) + -1(4m + 3) * x + 4m + 1 = 0 Reorder the terms: (mx2 + -1x2) + -1(4m + 3) * x + 4m + 1 = 0 (mx2 + -1x2) + -1(4m + 3) * x + 4m + 1 = 0 Reorder the terms: mx2 + -1x2 + -1(3 + 4m) * x + 4m + 1 = 0 Reorder the terms for easier multiplication: mx2 + -1x2 + -1x(3 + 4m) + 4m + 1 = 0 mx2 + -1x2 + (3 * -1x + 4m * -1x) + 4m + 1 = 0 Reorder the terms: mx2 + -1x2 + (-4mx + -3x) + 4m + 1 = 0 mx2 + -1x2 + (-4mx + -3x) + 4m + 1 = 0 Reorder the terms: 1 + 4m + -4mx + mx2 + -3x + -1x2 = 0 Solving 1 + 4m + -4mx + mx2 + -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 + 4m + -4mx + mx2 + -3x + -1 + -1x2 = 0 + -1 Reorder the terms: 1 + -1 + 4m + -4mx + mx2 + -3x + -1x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4m + -4mx + mx2 + -3x + -1x2 = 0 + -1 4m + -4mx + mx2 + -3x + -1x2 = 0 + -1 Combine like terms: 0 + -1 = -1 4m + -4mx + mx2 + -3x + -1x2 = -1 Add '3x' to each side of the equation. 4m + -4mx + mx2 + -3x + 3x + -1x2 = -1 + 3x Combine like terms: -3x + 3x = 0 4m + -4mx + mx2 + 0 + -1x2 = -1 + 3x 4m + -4mx + mx2 + -1x2 = -1 + 3x Add 'x2' to each side of the equation. 4m + -4mx + mx2 + -1x2 + x2 = -1 + 3x + x2 Combine like terms: -1x2 + x2 = 0 4m + -4mx + mx2 + 0 = -1 + 3x + x2 4m + -4mx + mx2 = -1 + 3x + x2 Reorder the terms: 1 + 4m + -4mx + mx2 + -3x + -1x2 = -1 + 3x + x2 + 1 + -3x + -1x2 Reorder the terms: 1 + 4m + -4mx + mx2 + -3x + -1x2 = -1 + 1 + 3x + -3x + x2 + -1x2 Combine like terms: -1 + 1 = 0 1 + 4m + -4mx + mx2 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2 1 + 4m + -4mx + mx2 + -3x + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 1 + 4m + -4mx + mx2 + -3x + -1x2 = 0 + x2 + -1x2 1 + 4m + -4mx + mx2 + -3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + 4m + -4mx + mx2 + -3x + -1x2 = 0 The solution to this equation could not be determined.
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