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Simplifying 6x2 + 4xy + -3y2 + -6x2 + -3xy + 4y2 = 0 Reorder the terms: 4xy + -3xy + 6x2 + -6x2 + -3y2 + 4y2 = 0 Combine like terms: 4xy + -3xy = 1xy 1xy + 6x2 + -6x2 + -3y2 + 4y2 = 0 Combine like terms: 6x2 + -6x2 = 0 1xy + 0 + -3y2 + 4y2 = 0 1xy + -3y2 + 4y2 = 0 Combine like terms: -3y2 + 4y2 = 1y2 1xy + 1y2 = 0 Solving 1xy + 1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. 1xy + 1y2 + -1y2 = 0 + -1y2 Combine like terms: 1y2 + -1y2 = 0 1xy + 0 = 0 + -1y2 1xy = 0 + -1y2 Remove the zero: 1xy = -1y2 Divide each side by '1y'. x = -1y Simplifying x = -1y
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