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Simplifying (m + 5) * x2 + (2m + 6) * x + (m + 3) = 0 Reorder the terms: (5 + m) * x2 + (2m + 6) * x + (m + 3) = 0 Reorder the terms for easier multiplication: x2(5 + m) + (2m + 6) * x + (m + 3) = 0 (5 * x2 + m * x2) + (2m + 6) * x + (m + 3) = 0 Reorder the terms: (mx2 + 5x2) + (2m + 6) * x + (m + 3) = 0 (mx2 + 5x2) + (2m + 6) * x + (m + 3) = 0 Reorder the terms: mx2 + 5x2 + (6 + 2m) * x + (m + 3) = 0 Reorder the terms for easier multiplication: mx2 + 5x2 + x(6 + 2m) + (m + 3) = 0 mx2 + 5x2 + (6 * x + 2m * x) + (m + 3) = 0 Reorder the terms: mx2 + 5x2 + (2mx + 6x) + (m + 3) = 0 mx2 + 5x2 + (2mx + 6x) + (m + 3) = 0 Reorder the terms: mx2 + 5x2 + 2mx + 6x + (3 + m) = 0 Remove parenthesis around (3 + m) mx2 + 5x2 + 2mx + 6x + 3 + m = 0 Reorder the terms: 3 + m + 2mx + mx2 + 6x + 5x2 = 0 Solving 3 + m + 2mx + mx2 + 6x + 5x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + m + 2mx + mx2 + 6x + -3 + 5x2 = 0 + -3 Reorder the terms: 3 + -3 + m + 2mx + mx2 + 6x + 5x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m + 2mx + mx2 + 6x + 5x2 = 0 + -3 m + 2mx + mx2 + 6x + 5x2 = 0 + -3 Combine like terms: 0 + -3 = -3 m + 2mx + mx2 + 6x + 5x2 = -3 Add '-6x' to each side of the equation. m + 2mx + mx2 + 6x + -6x + 5x2 = -3 + -6x Combine like terms: 6x + -6x = 0 m + 2mx + mx2 + 0 + 5x2 = -3 + -6x m + 2mx + mx2 + 5x2 = -3 + -6x Add '-5x2' to each side of the equation. m + 2mx + mx2 + 5x2 + -5x2 = -3 + -6x + -5x2 Combine like terms: 5x2 + -5x2 = 0 m + 2mx + mx2 + 0 = -3 + -6x + -5x2 m + 2mx + mx2 = -3 + -6x + -5x2 Reorder the terms: 3 + m + 2mx + mx2 + 6x + 5x2 = -3 + -6x + -5x2 + 3 + 6x + 5x2 Reorder the terms: 3 + m + 2mx + mx2 + 6x + 5x2 = -3 + 3 + -6x + 6x + -5x2 + 5x2 Combine like terms: -3 + 3 = 0 3 + m + 2mx + mx2 + 6x + 5x2 = 0 + -6x + 6x + -5x2 + 5x2 3 + m + 2mx + mx2 + 6x + 5x2 = -6x + 6x + -5x2 + 5x2 Combine like terms: -6x + 6x = 0 3 + m + 2mx + mx2 + 6x + 5x2 = 0 + -5x2 + 5x2 3 + m + 2mx + mx2 + 6x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 3 + m + 2mx + mx2 + 6x + 5x2 = 0 The solution to this equation could not be determined.
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