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Simplifying (x + -1y)(x + y) = 99n Multiply (x + -1y) * (x + y) (x(x + y) + -1y * (x + y)) = 99n ((x * x + y * x) + -1y * (x + y)) = 99n Reorder the terms: ((xy + x2) + -1y * (x + y)) = 99n ((xy + x2) + -1y * (x + y)) = 99n (xy + x2 + (x * -1y + y * -1y)) = 99n (xy + x2 + (-1xy + -1y2)) = 99n Reorder the terms: (xy + -1xy + x2 + -1y2) = 99n Combine like terms: xy + -1xy = 0 (0 + x2 + -1y2) = 99n (x2 + -1y2) = 99n Solving x2 + -1y2 = 99n 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 = 99n + y2 Combine like terms: -1y2 + y2 = 0 x2 + 0 = 99n + y2 x2 = 99n + y2 Simplifying x2 = 99n + y2 Reorder the terms: -99n + x2 + -1y2 = 99n + y2 + -99n + -1y2 Reorder the terms: -99n + x2 + -1y2 = 99n + -99n + y2 + -1y2 Combine like terms: 99n + -99n = 0 -99n + x2 + -1y2 = 0 + y2 + -1y2 -99n + x2 + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -99n + x2 + -1y2 = 0 The solution to this equation could not be determined.
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