(8xy-y^2+9x^2)-(x^2-4Y^2)=

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Solution for (8xy-y^2+9x^2)-(x^2-4Y^2)= equation: 


Simplifying
(8xy + -1y2 + 9x2) + -1(x2 + -4Y2) = 0

Reorder the terms:
(8xy + 9x2 + -1y2) + -1(x2 + -4Y2) = 0

Remove parenthesis around (8xy + 9x2 + -1y2)
8xy + 9x2 + -1y2 + -1(x2 + -4Y2) = 0

Reorder the terms:
8xy + 9x2 + -1y2 + -1(-4Y2 + x2) = 0
8xy + 9x2 + -1y2 + (-4Y2 * -1 + x2 * -1) = 0
8xy + 9x2 + -1y2 + (4Y2 + -1x2) = 0

Reorder the terms:
4Y2 + 8xy + 9x2 + -1x2 + -1y2 = 0

Combine like terms: 9x2 + -1x2 = 8x2
4Y2 + 8xy + 8x2 + -1y2 = 0

Solving
4Y2 + 8xy + 8x2 + -1y2 = 0

Solving for variable 'Y'.

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

Add '-8xy' to each side of the equation.
4Y2 + 8xy + 8x2 + -8xy + -1y2 = 0 + -8xy

Reorder the terms:
4Y2 + 8xy + -8xy + 8x2 + -1y2 = 0 + -8xy

Combine like terms: 8xy + -8xy = 0
4Y2 + 0 + 8x2 + -1y2 = 0 + -8xy
4Y2 + 8x2 + -1y2 = 0 + -8xy
Remove the zero:
4Y2 + 8x2 + -1y2 = -8xy

Add '-8x2' to each side of the equation.
4Y2 + 8x2 + -8x2 + -1y2 = -8xy + -8x2

Combine like terms: 8x2 + -8x2 = 0
4Y2 + 0 + -1y2 = -8xy + -8x2
4Y2 + -1y2 = -8xy + -8x2

Add 'y2' to each side of the equation.
4Y2 + -1y2 + y2 = -8xy + -8x2 + y2

Combine like terms: -1y2 + y2 = 0
4Y2 + 0 = -8xy + -8x2 + y2
4Y2 = -8xy + -8x2 + y2

Divide each side by '4'.
Y2 = -2xy + -2x2 + 0.25y2

Simplifying
Y2 = -2xy + -2x2 + 0.25y2

Reorder the terms:
Y2 + 2xy + 2x2 + -0.25y2 = -2xy + 2xy + -2x2 + 2x2 + 0.25y2 + -0.25y2

Combine like terms: -2xy + 2xy = 0
Y2 + 2xy + 2x2 + -0.25y2 = 0 + -2x2 + 2x2 + 0.25y2 + -0.25y2
Y2 + 2xy + 2x2 + -0.25y2 = -2x2 + 2x2 + 0.25y2 + -0.25y2

Combine like terms: -2x2 + 2x2 = 0
Y2 + 2xy + 2x2 + -0.25y2 = 0 + 0.25y2 + -0.25y2
Y2 + 2xy + 2x2 + -0.25y2 = 0.25y2 + -0.25y2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
Y2 + 2xy + 2x2 + -0.25y2 = 0.00

The solution to this equation could not be determined.

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