(1-7xy+5x^2-y^2)-(6y^2-7xy-6)=

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Solution for (1-7xy+5x^2-y^2)-(6y^2-7xy-6)= equation: 


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

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

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

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

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

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

Combine like terms: -1y2 + -6y2 = -7y2
7 + 5x2 + -7y2 = 0

Solving
7 + 5x2 + -7y2 = 0

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + 5x2 + -7 + -7y2 = 0 + -7

Reorder the terms:
7 + -7 + 5x2 + -7y2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x2 + -7y2 = 0 + -7
5x2 + -7y2 = 0 + -7

Combine like terms: 0 + -7 = -7
5x2 + -7y2 = -7

Add '7y2' to each side of the equation.
5x2 + -7y2 + 7y2 = -7 + 7y2

Combine like terms: -7y2 + 7y2 = 0
5x2 + 0 = -7 + 7y2
5x2 = -7 + 7y2

Divide each side by '5'.
x2 = -1.4 + 1.4y2

Simplifying
x2 = -1.4 + 1.4y2

Reorder the terms:
1.4 + x2 + -1.4y2 = -1.4 + 1.4y2 + 1.4 + -1.4y2

Reorder the terms:
1.4 + x2 + -1.4y2 = -1.4 + 1.4 + 1.4y2 + -1.4y2

Combine like terms: -1.4 + 1.4 = 0.0
1.4 + x2 + -1.4y2 = 0.0 + 1.4y2 + -1.4y2
1.4 + x2 + -1.4y2 = 1.4y2 + -1.4y2

Combine like terms: 1.4y2 + -1.4y2 = 0.0
1.4 + x2 + -1.4y2 = 0.0

The solution to this equation could not be determined.

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