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Simplifying (2x + 3)(4 + -1y) = 0 Reorder the terms: (3 + 2x)(4 + -1y) = 0 Multiply (3 + 2x) * (4 + -1y) (3(4 + -1y) + 2x * (4 + -1y)) = 0 ((4 * 3 + -1y * 3) + 2x * (4 + -1y)) = 0 ((12 + -3y) + 2x * (4 + -1y)) = 0 (12 + -3y + (4 * 2x + -1y * 2x)) = 0 (12 + -3y + (8x + -2xy)) = 0 Reorder the terms: (12 + 8x + -2xy + -3y) = 0 (12 + 8x + -2xy + -3y) = 0 Solving 12 + 8x + -2xy + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 8x + -2xy + -12 + -3y = 0 + -12 Reorder the terms: 12 + -12 + 8x + -2xy + -3y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 8x + -2xy + -3y = 0 + -12 8x + -2xy + -3y = 0 + -12 Combine like terms: 0 + -12 = -12 8x + -2xy + -3y = -12 Add '3y' to each side of the equation. 8x + -2xy + -3y + 3y = -12 + 3y Combine like terms: -3y + 3y = 0 8x + -2xy + 0 = -12 + 3y 8x + -2xy = -12 + 3y Reorder the terms: 12 + 8x + -2xy + -3y = -12 + 3y + 12 + -3y Reorder the terms: 12 + 8x + -2xy + -3y = -12 + 12 + 3y + -3y Combine like terms: -12 + 12 = 0 12 + 8x + -2xy + -3y = 0 + 3y + -3y 12 + 8x + -2xy + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 12 + 8x + -2xy + -3y = 0 The solution to this equation could not be determined.
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