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Simplifying y(x + y) + -3y(y + 6x) = 0 (x * y + y * y) + -3y(y + 6x) = 0 (xy + y2) + -3y(y + 6x) = 0 Reorder the terms: xy + y2 + -3y(6x + y) = 0 xy + y2 + (6x * -3y + y * -3y) = 0 xy + y2 + (-18xy + -3y2) = 0 Reorder the terms: xy + -18xy + y2 + -3y2 = 0 Combine like terms: xy + -18xy = -17xy -17xy + y2 + -3y2 = 0 Combine like terms: y2 + -3y2 = -2y2 -17xy + -2y2 = 0 Solving -17xy + -2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y2' to each side of the equation. -17xy + -2y2 + 2y2 = 0 + 2y2 Combine like terms: -2y2 + 2y2 = 0 -17xy + 0 = 0 + 2y2 -17xy = 0 + 2y2 Remove the zero: -17xy = 2y2 Divide each side by '-17y'. x = -0.1176470588y Simplifying x = -0.1176470588y
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