(x-y)*(x+y)=4000

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Solution for (x-y)*(x+y)=4000 equation:


Simplifying
(x + -1y)(x + y) = 4000

Multiply (x + -1y) * (x + y)
(x(x + y) + -1y * (x + y)) = 4000
((x * x + y * x) + -1y * (x + y)) = 4000

Reorder the terms:
((xy + x2) + -1y * (x + y)) = 4000
((xy + x2) + -1y * (x + y)) = 4000
(xy + x2 + (x * -1y + y * -1y)) = 4000
(xy + x2 + (-1xy + -1y2)) = 4000

Reorder the terms:
(xy + -1xy + x2 + -1y2) = 4000

Combine like terms: xy + -1xy = 0
(0 + x2 + -1y2) = 4000
(x2 + -1y2) = 4000

Solving
x2 + -1y2 = 4000

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 = 4000 + y2

Combine like terms: -1y2 + y2 = 0
x2 + 0 = 4000 + y2
x2 = 4000 + y2

Simplifying
x2 = 4000 + y2

Reorder the terms:
-4000 + x2 + -1y2 = 4000 + y2 + -4000 + -1y2

Reorder the terms:
-4000 + x2 + -1y2 = 4000 + -4000 + y2 + -1y2

Combine like terms: 4000 + -4000 = 0
-4000 + x2 + -1y2 = 0 + y2 + -1y2
-4000 + x2 + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-4000 + x2 + -1y2 = 0

The solution to this equation could not be determined.

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