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Simplifying 3x(y + 2) + 2(y + 2) = 0 Reorder the terms: 3x(2 + y) + 2(y + 2) = 0 (2 * 3x + y * 3x) + 2(y + 2) = 0 (6x + 3xy) + 2(y + 2) = 0 Reorder the terms: 6x + 3xy + 2(2 + y) = 0 6x + 3xy + (2 * 2 + y * 2) = 0 6x + 3xy + (4 + 2y) = 0 Reorder the terms: 4 + 6x + 3xy + 2y = 0 Solving 4 + 6x + 3xy + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 6x + 3xy + -4 + 2y = 0 + -4 Reorder the terms: 4 + -4 + 6x + 3xy + 2y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6x + 3xy + 2y = 0 + -4 6x + 3xy + 2y = 0 + -4 Combine like terms: 0 + -4 = -4 6x + 3xy + 2y = -4 Add '-2y' to each side of the equation. 6x + 3xy + 2y + -2y = -4 + -2y Combine like terms: 2y + -2y = 0 6x + 3xy + 0 = -4 + -2y 6x + 3xy = -4 + -2y Reorder the terms: 4 + 6x + 3xy + 2y = -4 + -2y + 4 + 2y Reorder the terms: 4 + 6x + 3xy + 2y = -4 + 4 + -2y + 2y Combine like terms: -4 + 4 = 0 4 + 6x + 3xy + 2y = 0 + -2y + 2y 4 + 6x + 3xy + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 4 + 6x + 3xy + 2y = 0 The solution to this equation could not be determined.
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