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Simplifying (2x + -1)(mx + 2) = 0 Reorder the terms: (-1 + 2x)(mx + 2) = 0 Reorder the terms: (-1 + 2x)(2 + mx) = 0 Multiply (-1 + 2x) * (2 + mx) (-1(2 + mx) + 2x * (2 + mx)) = 0 ((2 * -1 + mx * -1) + 2x * (2 + mx)) = 0 ((-2 + -1mx) + 2x * (2 + mx)) = 0 (-2 + -1mx + (2 * 2x + mx * 2x)) = 0 Reorder the terms: (-2 + -1mx + (2mx2 + 4x)) = 0 (-2 + -1mx + (2mx2 + 4x)) = 0 (-2 + -1mx + 2mx2 + 4x) = 0 Solving -2 + -1mx + 2mx2 + 4x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1mx + 2mx2 + 2 + 4x = 0 + 2 Reorder the terms: -2 + 2 + -1mx + 2mx2 + 4x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1mx + 2mx2 + 4x = 0 + 2 -1mx + 2mx2 + 4x = 0 + 2 Combine like terms: 0 + 2 = 2 -1mx + 2mx2 + 4x = 2 Add '-4x' to each side of the equation. -1mx + 2mx2 + 4x + -4x = 2 + -4x Combine like terms: 4x + -4x = 0 -1mx + 2mx2 + 0 = 2 + -4x -1mx + 2mx2 = 2 + -4x Reorder the terms: -2 + -1mx + 2mx2 + 4x = 2 + -4x + -2 + 4x Reorder the terms: -2 + -1mx + 2mx2 + 4x = 2 + -2 + -4x + 4x Combine like terms: 2 + -2 = 0 -2 + -1mx + 2mx2 + 4x = 0 + -4x + 4x -2 + -1mx + 2mx2 + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -2 + -1mx + 2mx2 + 4x = 0 The solution to this equation could not be determined.
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