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Simplifying 2y(4x + 2y + 3) = 0 Reorder the terms: 2y(3 + 4x + 2y) = 0 (3 * 2y + 4x * 2y + 2y * 2y) = 0 Reorder the terms: (8xy + 6y + 4y2) = 0 (8xy + 6y + 4y2) = 0 Solving 8xy + 6y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 8xy + 6y + -6y + 4y2 = 0 + -6y Combine like terms: 6y + -6y = 0 8xy + 0 + 4y2 = 0 + -6y 8xy + 4y2 = 0 + -6y Remove the zero: 8xy + 4y2 = -6y Add '-4y2' to each side of the equation. 8xy + 4y2 + -4y2 = -6y + -4y2 Combine like terms: 4y2 + -4y2 = 0 8xy + 0 = -6y + -4y2 8xy = -6y + -4y2 Divide each side by '8y'. x = -0.75 + -0.5y Simplifying x = -0.75 + -0.5y
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