(100-XY)(100+XY)=

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Solution for (100-XY)(100+XY)= equation: 


Simplifying
(100 + -1XY)(100 + XY) = 0

Multiply (100 + -1XY) * (100 + XY)
(100(100 + XY) + -1XY * (100 + XY)) = 0
((100 * 100 + XY * 100) + -1XY * (100 + XY)) = 0
((10000 + 100XY) + -1XY * (100 + XY)) = 0
(10000 + 100XY + (100 * -1XY + XY * -1XY)) = 0
(10000 + 100XY + (-100XY + -1X2Y2)) = 0

Combine like terms: 100XY + -100XY = 0
(10000 + 0 + -1X2Y2) = 0
(10000 + -1X2Y2) = 0

Solving
10000 + -1X2Y2 = 0

Solving for variable 'X'.

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

Add '-10000' to each side of the equation.
10000 + -10000 + -1X2Y2 = 0 + -10000

Combine like terms: 10000 + -10000 = 0
0 + -1X2Y2 = 0 + -10000
-1X2Y2 = 0 + -10000

Combine like terms: 0 + -10000 = -10000
-1X2Y2 = -10000

Divide each side by '-1Y2'.
X2 = 10000Y-2

Simplifying
X2 = 10000Y-2

Take the square root of each side:
X = {-100Y-1, 100Y-1}

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