Y^2-4xy+x^2=10

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Solution for Y^2-4xy+x^2=10 equation:


Simplifying
Y2 + -4xy + x2 = 10

Solving
Y2 + -4xy + x2 = 10

Solving for variable 'Y'.

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

Add '4xy' to each side of the equation.
Y2 + -4xy + 4xy + x2 = 10 + 4xy

Combine like terms: -4xy + 4xy = 0
Y2 + 0 + x2 = 10 + 4xy
Y2 + x2 = 10 + 4xy

Add '-1x2' to each side of the equation.
Y2 + x2 + -1x2 = 10 + 4xy + -1x2

Combine like terms: x2 + -1x2 = 0
Y2 + 0 = 10 + 4xy + -1x2
Y2 = 10 + 4xy + -1x2

Simplifying
Y2 = 10 + 4xy + -1x2

Reorder the terms:
-10 + Y2 + -4xy + x2 = 10 + 4xy + -1x2 + -10 + -4xy + x2

Reorder the terms:
-10 + Y2 + -4xy + x2 = 10 + -10 + 4xy + -4xy + -1x2 + x2

Combine like terms: 10 + -10 = 0
-10 + Y2 + -4xy + x2 = 0 + 4xy + -4xy + -1x2 + x2
-10 + Y2 + -4xy + x2 = 4xy + -4xy + -1x2 + x2

Combine like terms: 4xy + -4xy = 0
-10 + Y2 + -4xy + x2 = 0 + -1x2 + x2
-10 + Y2 + -4xy + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-10 + Y2 + -4xy + x2 = 0

The solution to this equation could not be determined.

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