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Simplifying mx2 + (2m + 3) * x + (m + -1) = 0 Reorder the terms: mx2 + (3 + 2m) * x + (m + -1) = 0 Reorder the terms for easier multiplication: mx2 + x(3 + 2m) + (m + -1) = 0 mx2 + (3 * x + 2m * x) + (m + -1) = 0 Reorder the terms: mx2 + (2mx + 3x) + (m + -1) = 0 mx2 + (2mx + 3x) + (m + -1) = 0 Reorder the terms: mx2 + 2mx + 3x + (-1 + m) = 0 Remove parenthesis around (-1 + m) mx2 + 2mx + 3x + -1 + m = 0 Reorder the terms: -1 + m + 2mx + mx2 + 3x = 0 Solving -1 + m + 2mx + mx2 + 3x = 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 + m + 2mx + mx2 + 1 + 3x = 0 + 1 Reorder the terms: -1 + 1 + m + 2mx + mx2 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + m + 2mx + mx2 + 3x = 0 + 1 m + 2mx + mx2 + 3x = 0 + 1 Combine like terms: 0 + 1 = 1 m + 2mx + mx2 + 3x = 1 Add '-3x' to each side of the equation. m + 2mx + mx2 + 3x + -3x = 1 + -3x Combine like terms: 3x + -3x = 0 m + 2mx + mx2 + 0 = 1 + -3x m + 2mx + mx2 = 1 + -3x Reorder the terms: -1 + m + 2mx + mx2 + 3x = 1 + -3x + -1 + 3x Reorder the terms: -1 + m + 2mx + mx2 + 3x = 1 + -1 + -3x + 3x Combine like terms: 1 + -1 = 0 -1 + m + 2mx + mx2 + 3x = 0 + -3x + 3x -1 + m + 2mx + mx2 + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -1 + m + 2mx + mx2 + 3x = 0 The solution to this equation could not be determined.
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