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Simplifying (3y + 2)(5 + 4x) = 0 Reorder the terms: (2 + 3y)(5 + 4x) = 0 Multiply (2 + 3y) * (5 + 4x) (2(5 + 4x) + 3y * (5 + 4x)) = 0 ((5 * 2 + 4x * 2) + 3y * (5 + 4x)) = 0 ((10 + 8x) + 3y * (5 + 4x)) = 0 (10 + 8x + (5 * 3y + 4x * 3y)) = 0 Reorder the terms: (10 + 8x + (12xy + 15y)) = 0 (10 + 8x + (12xy + 15y)) = 0 (10 + 8x + 12xy + 15y) = 0 Solving 10 + 8x + 12xy + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 8x + 12xy + -10 + 15y = 0 + -10 Reorder the terms: 10 + -10 + 8x + 12xy + 15y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 8x + 12xy + 15y = 0 + -10 8x + 12xy + 15y = 0 + -10 Combine like terms: 0 + -10 = -10 8x + 12xy + 15y = -10 Add '-15y' to each side of the equation. 8x + 12xy + 15y + -15y = -10 + -15y Combine like terms: 15y + -15y = 0 8x + 12xy + 0 = -10 + -15y 8x + 12xy = -10 + -15y Reorder the terms: 10 + 8x + 12xy + 15y = -10 + -15y + 10 + 15y Reorder the terms: 10 + 8x + 12xy + 15y = -10 + 10 + -15y + 15y Combine like terms: -10 + 10 = 0 10 + 8x + 12xy + 15y = 0 + -15y + 15y 10 + 8x + 12xy + 15y = -15y + 15y Combine like terms: -15y + 15y = 0 10 + 8x + 12xy + 15y = 0 The solution to this equation could not be determined.
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