(X+y)(x-Y)=1000001

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Solution for (X+y)(x-Y)=1000001 equation:


Simplifying
(X + y)(x + -1Y) = 1000001

Reorder the terms:
(X + y)(-1Y + x) = 1000001

Multiply (X + y) * (-1Y + x)
(X(-1Y + x) + y(-1Y + x)) = 1000001
((-1Y * X + x * X) + y(-1Y + x)) = 1000001
((-1XY + xX) + y(-1Y + x)) = 1000001
(-1XY + xX + (-1Y * y + x * y)) = 1000001

Reorder the terms:
(-1XY + xX + (xy + -1yY)) = 1000001
(-1XY + xX + (xy + -1yY)) = 1000001
(-1XY + xX + xy + -1yY) = 1000001

Solving
-1XY + xX + xy + -1yY = 1000001

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1xy' to each side of the equation.
-1XY + xX + xy + -1xy + -1yY = 1000001 + -1xy

Combine like terms: xy + -1xy = 0
-1XY + xX + 0 + -1yY = 1000001 + -1xy
-1XY + xX + -1yY = 1000001 + -1xy

Add 'yY' to each side of the equation.
-1XY + xX + -1yY + yY = 1000001 + -1xy + yY

Combine like terms: -1yY + yY = 0
-1XY + xX + 0 = 1000001 + -1xy + yY
-1XY + xX = 1000001 + -1xy + yY

Reorder the terms:
-1000001 + -1XY + xX + xy + -1yY = 1000001 + -1xy + yY + -1000001 + xy + -1yY

Reorder the terms:
-1000001 + -1XY + xX + xy + -1yY = 1000001 + -1000001 + -1xy + xy + yY + -1yY

Combine like terms: 1000001 + -1000001 = 0
-1000001 + -1XY + xX + xy + -1yY = 0 + -1xy + xy + yY + -1yY
-1000001 + -1XY + xX + xy + -1yY = -1xy + xy + yY + -1yY

Combine like terms: -1xy + xy = 0
-1000001 + -1XY + xX + xy + -1yY = 0 + yY + -1yY
-1000001 + -1XY + xX + xy + -1yY = yY + -1yY

Combine like terms: yY + -1yY = 0
-1000001 + -1XY + xX + xy + -1yY = 0

The solution to this equation could not be determined.

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