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