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