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Simplifying (m + 1) * x2 + 2(m + 3) * x + (m + 8) = 0 Reorder the terms: (1 + m) * x2 + 2(m + 3) * x + (m + 8) = 0 Reorder the terms for easier multiplication: x2(1 + m) + 2(m + 3) * x + (m + 8) = 0 (1 * x2 + m * x2) + 2(m + 3) * x + (m + 8) = 0 Reorder the terms: (mx2 + 1x2) + 2(m + 3) * x + (m + 8) = 0 (mx2 + 1x2) + 2(m + 3) * x + (m + 8) = 0 Reorder the terms: mx2 + 1x2 + 2(3 + m) * x + (m + 8) = 0 Reorder the terms for easier multiplication: mx2 + 1x2 + 2x(3 + m) + (m + 8) = 0 mx2 + 1x2 + (3 * 2x + m * 2x) + (m + 8) = 0 Reorder the terms: mx2 + 1x2 + (2mx + 6x) + (m + 8) = 0 mx2 + 1x2 + (2mx + 6x) + (m + 8) = 0 Reorder the terms: mx2 + 1x2 + 2mx + 6x + (8 + m) = 0 Remove parenthesis around (8 + m) mx2 + 1x2 + 2mx + 6x + 8 + m = 0 Reorder the terms: 8 + m + 2mx + mx2 + 6x + 1x2 = 0 Solving 8 + m + 2mx + mx2 + 6x + 1x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + m + 2mx + mx2 + 6x + -8 + 1x2 = 0 + -8 Reorder the terms: 8 + -8 + m + 2mx + mx2 + 6x + 1x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m + 2mx + mx2 + 6x + 1x2 = 0 + -8 m + 2mx + mx2 + 6x + 1x2 = 0 + -8 Combine like terms: 0 + -8 = -8 m + 2mx + mx2 + 6x + 1x2 = -8 Add '-6x' to each side of the equation. m + 2mx + mx2 + 6x + -6x + 1x2 = -8 + -6x Combine like terms: 6x + -6x = 0 m + 2mx + mx2 + 0 + 1x2 = -8 + -6x m + 2mx + mx2 + 1x2 = -8 + -6x Add '-1x2' to each side of the equation. m + 2mx + mx2 + 1x2 + -1x2 = -8 + -6x + -1x2 Combine like terms: 1x2 + -1x2 = 0 m + 2mx + mx2 + 0 = -8 + -6x + -1x2 m + 2mx + mx2 = -8 + -6x + -1x2 Reorder the terms: 8 + m + 2mx + mx2 + 6x + x2 = -8 + -6x + -1x2 + 8 + 6x + x2 Reorder the terms: 8 + m + 2mx + mx2 + 6x + x2 = -8 + 8 + -6x + 6x + -1x2 + x2 Combine like terms: -8 + 8 = 0 8 + m + 2mx + mx2 + 6x + x2 = 0 + -6x + 6x + -1x2 + x2 8 + m + 2mx + mx2 + 6x + x2 = -6x + 6x + -1x2 + x2 Combine like terms: -6x + 6x = 0 8 + m + 2mx + mx2 + 6x + x2 = 0 + -1x2 + x2 8 + m + 2mx + mx2 + 6x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 8 + m + 2mx + mx2 + 6x + x2 = 0 The solution to this equation could not be determined.
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