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Simplifying (x + y)(x + -1y) = 12 + 2y Multiply (x + y) * (x + -1y) (x(x + -1y) + y(x + -1y)) = 12 + 2y ((x * x + -1y * x) + y(x + -1y)) = 12 + 2y Reorder the terms: ((-1xy + x2) + y(x + -1y)) = 12 + 2y ((-1xy + x2) + y(x + -1y)) = 12 + 2y (-1xy + x2 + (x * y + -1y * y)) = 12 + 2y (-1xy + x2 + (xy + -1y2)) = 12 + 2y Reorder the terms: (-1xy + xy + x2 + -1y2) = 12 + 2y Combine like terms: -1xy + xy = 0 (0 + x2 + -1y2) = 12 + 2y (x2 + -1y2) = 12 + 2y Solving x2 + -1y2 = 12 + 2y 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 = 12 + 2y + y2 Combine like terms: -1y2 + y2 = 0 x2 + 0 = 12 + 2y + y2 x2 = 12 + 2y + y2 Simplifying x2 = 12 + 2y + y2 Reorder the terms: -12 + x2 + -2y + -1y2 = 12 + 2y + y2 + -12 + -2y + -1y2 Reorder the terms: -12 + x2 + -2y + -1y2 = 12 + -12 + 2y + -2y + y2 + -1y2 Combine like terms: 12 + -12 = 0 -12 + x2 + -2y + -1y2 = 0 + 2y + -2y + y2 + -1y2 -12 + x2 + -2y + -1y2 = 2y + -2y + y2 + -1y2 Combine like terms: 2y + -2y = 0 -12 + x2 + -2y + -1y2 = 0 + y2 + -1y2 -12 + x2 + -2y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -12 + x2 + -2y + -1y2 = 0 The solution to this equation could not be determined.
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