x^2+Y^2-7xy=19

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Solution for x^2+Y^2-7xy=19 equation:


Simplifying
x2 + Y2 + -7xy = 19

Reorder the terms:
Y2 + -7xy + x2 = 19

Solving
Y2 + -7xy + x2 = 19

Solving for variable 'Y'.

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

Add '7xy' to each side of the equation.
Y2 + -7xy + 7xy + x2 = 19 + 7xy

Combine like terms: -7xy + 7xy = 0
Y2 + 0 + x2 = 19 + 7xy
Y2 + x2 = 19 + 7xy

Add '-1x2' to each side of the equation.
Y2 + x2 + -1x2 = 19 + 7xy + -1x2

Combine like terms: x2 + -1x2 = 0
Y2 + 0 = 19 + 7xy + -1x2
Y2 = 19 + 7xy + -1x2

Simplifying
Y2 = 19 + 7xy + -1x2

Reorder the terms:
-19 + Y2 + -7xy + x2 = 19 + 7xy + -1x2 + -19 + -7xy + x2

Reorder the terms:
-19 + Y2 + -7xy + x2 = 19 + -19 + 7xy + -7xy + -1x2 + x2

Combine like terms: 19 + -19 = 0
-19 + Y2 + -7xy + x2 = 0 + 7xy + -7xy + -1x2 + x2
-19 + Y2 + -7xy + x2 = 7xy + -7xy + -1x2 + x2

Combine like terms: 7xy + -7xy = 0
-19 + Y2 + -7xy + x2 = 0 + -1x2 + x2
-19 + Y2 + -7xy + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-19 + Y2 + -7xy + x2 = 0

The solution to this equation could not be determined.

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