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Simplifying 4x2 + -3xy + 5y2 + 10xy + -17y2 + -11x2 + -5xy + 12x2 + -2xy = 11 Reorder the terms: -3xy + 10xy + -5xy + -2xy + 4x2 + -11x2 + 12x2 + 5y2 + -17y2 = 11 Combine like terms: -3xy + 10xy = 7xy 7xy + -5xy + -2xy + 4x2 + -11x2 + 12x2 + 5y2 + -17y2 = 11 Combine like terms: 7xy + -5xy = 2xy 2xy + -2xy + 4x2 + -11x2 + 12x2 + 5y2 + -17y2 = 11 Combine like terms: 2xy + -2xy = 0 0 + 4x2 + -11x2 + 12x2 + 5y2 + -17y2 = 11 4x2 + -11x2 + 12x2 + 5y2 + -17y2 = 11 Combine like terms: 4x2 + -11x2 = -7x2 -7x2 + 12x2 + 5y2 + -17y2 = 11 Combine like terms: -7x2 + 12x2 = 5x2 5x2 + 5y2 + -17y2 = 11 Combine like terms: 5y2 + -17y2 = -12y2 5x2 + -12y2 = 11 Solving 5x2 + -12y2 = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y2' to each side of the equation. 5x2 + -12y2 + 12y2 = 11 + 12y2 Combine like terms: -12y2 + 12y2 = 0 5x2 + 0 = 11 + 12y2 5x2 = 11 + 12y2 Divide each side by '5'. x2 = 2.2 + 2.4y2 Simplifying x2 = 2.2 + 2.4y2 Reorder the terms: -2.2 + x2 + -2.4y2 = 2.2 + 2.4y2 + -2.2 + -2.4y2 Reorder the terms: -2.2 + x2 + -2.4y2 = 2.2 + -2.2 + 2.4y2 + -2.4y2 Combine like terms: 2.2 + -2.2 = 0.0 -2.2 + x2 + -2.4y2 = 0.0 + 2.4y2 + -2.4y2 -2.2 + x2 + -2.4y2 = 2.4y2 + -2.4y2 Combine like terms: 2.4y2 + -2.4y2 = 0.0 -2.2 + x2 + -2.4y2 = 0.0 The solution to this equation could not be determined.
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