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