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