(3-4xy+7x^2-y^2)-(2y^2-4xy-6)=

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Solution for (3-4xy+7x^2-y^2)-(2y^2-4xy-6)= equation: 


Simplifying
(3 + -4xy + 7x2 + -1y2) + -1(2y2 + -4xy + -6) = 0

Remove parenthesis around (3 + -4xy + 7x2 + -1y2)
3 + -4xy + 7x2 + -1y2 + -1(2y2 + -4xy + -6) = 0

Reorder the terms:
3 + -4xy + 7x2 + -1y2 + -1(-6 + -4xy + 2y2) = 0
3 + -4xy + 7x2 + -1y2 + (-6 * -1 + -4xy * -1 + 2y2 * -1) = 0
3 + -4xy + 7x2 + -1y2 + (6 + 4xy + -2y2) = 0

Reorder the terms:
3 + 6 + -4xy + 4xy + 7x2 + -1y2 + -2y2 = 0

Combine like terms: 3 + 6 = 9
9 + -4xy + 4xy + 7x2 + -1y2 + -2y2 = 0

Combine like terms: -4xy + 4xy = 0
9 + 0 + 7x2 + -1y2 + -2y2 = 0
9 + 7x2 + -1y2 + -2y2 = 0

Combine like terms: -1y2 + -2y2 = -3y2
9 + 7x2 + -3y2 = 0

Solving
9 + 7x2 + -3y2 = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + 7x2 + -9 + -3y2 = 0 + -9

Reorder the terms:
9 + -9 + 7x2 + -3y2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7x2 + -3y2 = 0 + -9
7x2 + -3y2 = 0 + -9

Combine like terms: 0 + -9 = -9
7x2 + -3y2 = -9

Add '3y2' to each side of the equation.
7x2 + -3y2 + 3y2 = -9 + 3y2

Combine like terms: -3y2 + 3y2 = 0
7x2 + 0 = -9 + 3y2
7x2 = -9 + 3y2

Divide each side by '7'.
x2 = -1.285714286 + 0.4285714286y2

Simplifying
x2 = -1.285714286 + 0.4285714286y2

Reorder the terms:
1.285714286 + x2 + -0.4285714286y2 = -1.285714286 + 0.4285714286y2 + 1.285714286 + -0.4285714286y2

Reorder the terms:
1.285714286 + x2 + -0.4285714286y2 = -1.285714286 + 1.285714286 + 0.4285714286y2 + -0.4285714286y2

Combine like terms: -1.285714286 + 1.285714286 = 0.000000000
1.285714286 + x2 + -0.4285714286y2 = 0.000000000 + 0.4285714286y2 + -0.4285714286y2
1.285714286 + x2 + -0.4285714286y2 = 0.4285714286y2 + -0.4285714286y2

Combine like terms: 0.4285714286y2 + -0.4285714286y2 = 0.0000000000
1.285714286 + x2 + -0.4285714286y2 = 0.0000000000

The solution to this equation could not be determined.

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