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