(5-7xy+8x^2-y^2)-(3y^2-7xy-6)=

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Solution for (5-7xy+8x^2-y^2)-(3y^2-7xy-6)= equation: 


Simplifying
(5 + -7xy + 8x2 + -1y2) + -1(3y2 + -7xy + -6) = 0

Remove parenthesis around (5 + -7xy + 8x2 + -1y2)
5 + -7xy + 8x2 + -1y2 + -1(3y2 + -7xy + -6) = 0

Reorder the terms:
5 + -7xy + 8x2 + -1y2 + -1(-6 + -7xy + 3y2) = 0
5 + -7xy + 8x2 + -1y2 + (-6 * -1 + -7xy * -1 + 3y2 * -1) = 0
5 + -7xy + 8x2 + -1y2 + (6 + 7xy + -3y2) = 0

Reorder the terms:
5 + 6 + -7xy + 7xy + 8x2 + -1y2 + -3y2 = 0

Combine like terms: 5 + 6 = 11
11 + -7xy + 7xy + 8x2 + -1y2 + -3y2 = 0

Combine like terms: -7xy + 7xy = 0
11 + 0 + 8x2 + -1y2 + -3y2 = 0
11 + 8x2 + -1y2 + -3y2 = 0

Combine like terms: -1y2 + -3y2 = -4y2
11 + 8x2 + -4y2 = 0

Solving
11 + 8x2 + -4y2 = 0

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + 8x2 + -11 + -4y2 = 0 + -11

Reorder the terms:
11 + -11 + 8x2 + -4y2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 8x2 + -4y2 = 0 + -11
8x2 + -4y2 = 0 + -11

Combine like terms: 0 + -11 = -11
8x2 + -4y2 = -11

Add '4y2' to each side of the equation.
8x2 + -4y2 + 4y2 = -11 + 4y2

Combine like terms: -4y2 + 4y2 = 0
8x2 + 0 = -11 + 4y2
8x2 = -11 + 4y2

Divide each side by '8'.
x2 = -1.375 + 0.5y2

Simplifying
x2 = -1.375 + 0.5y2

Reorder the terms:
1.375 + x2 + -0.5y2 = -1.375 + 0.5y2 + 1.375 + -0.5y2

Reorder the terms:
1.375 + x2 + -0.5y2 = -1.375 + 1.375 + 0.5y2 + -0.5y2

Combine like terms: -1.375 + 1.375 = 0.000
1.375 + x2 + -0.5y2 = 0.000 + 0.5y2 + -0.5y2
1.375 + x2 + -0.5y2 = 0.5y2 + -0.5y2

Combine like terms: 0.5y2 + -0.5y2 = 0.0
1.375 + x2 + -0.5y2 = 0.0

The solution to this equation could not be determined.

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