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Simplifying (x + y)(x + -1y) = 17 Multiply (x + y) * (x + -1y) (x(x + -1y) + y(x + -1y)) = 17 ((x * x + -1y * x) + y(x + -1y)) = 17 Reorder the terms: ((-1xy + x2) + y(x + -1y)) = 17 ((-1xy + x2) + y(x + -1y)) = 17 (-1xy + x2 + (x * y + -1y * y)) = 17 (-1xy + x2 + (xy + -1y2)) = 17 Reorder the terms: (-1xy + xy + x2 + -1y2) = 17 Combine like terms: -1xy + xy = 0 (0 + x2 + -1y2) = 17 (x2 + -1y2) = 17 Solving x2 + -1y2 = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. x2 + -1y2 + y2 = 17 + y2 Combine like terms: -1y2 + y2 = 0 x2 + 0 = 17 + y2 x2 = 17 + y2 Simplifying x2 = 17 + y2 Reorder the terms: -17 + x2 + -1y2 = 17 + y2 + -17 + -1y2 Reorder the terms: -17 + x2 + -1y2 = 17 + -17 + y2 + -1y2 Combine like terms: 17 + -17 = 0 -17 + x2 + -1y2 = 0 + y2 + -1y2 -17 + x2 + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -17 + x2 + -1y2 = 0 The solution to this equation could not be determined.
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