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