X*x+y*y=100

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Solution for X*x+y*y=100 equation: 


Simplifying
X * x + y * y = 100

Multiply X * x
xX + y * y = 100

Multiply y * y
xX + y2 = 100

Solving
xX + y2 = 100

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
xX + y2 + -1y2 = 100 + -1y2

Combine like terms: y2 + -1y2 = 0
xX + 0 = 100 + -1y2
xX = 100 + -1y2

Divide each side by 'X'.
x = 100X-1 + -1y2X-1

Simplifying
x = 100X-1 + -1y2X-1

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