(2*x^2-2*abs(x)*y+y^2)-4=0

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Solution for (2*x^2-2*abs(x)*y+y^2)-4=0 equation:


Simplifying
(2x2 + -2abs(x) * y + y2) + -4 = 0

Multiply abs * x
(2x2 + -2absx * y + y2) + -4 = 0

Multiply absx * y
(2x2 + -2absxy + y2) + -4 = 0

Reorder the terms:
(-2absxy + 2x2 + y2) + -4 = 0

Remove parenthesis around (-2absxy + 2x2 + y2)
-2absxy + 2x2 + y2 + -4 = 0

Reorder the terms:
-4 + -2absxy + 2x2 + y2 = 0

Solving
-4 + -2absxy + 2x2 + y2 = 0

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + -2absxy + 2x2 + 4 + y2 = 0 + 4

Reorder the terms:
-4 + 4 + -2absxy + 2x2 + y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -2absxy + 2x2 + y2 = 0 + 4
-2absxy + 2x2 + y2 = 0 + 4

Combine like terms: 0 + 4 = 4
-2absxy + 2x2 + y2 = 4

Add '-2x2' to each side of the equation.
-2absxy + 2x2 + -2x2 + y2 = 4 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2absxy + 0 + y2 = 4 + -2x2
-2absxy + y2 = 4 + -2x2

Add '-1y2' to each side of the equation.
-2absxy + y2 + -1y2 = 4 + -2x2 + -1y2

Combine like terms: y2 + -1y2 = 0
-2absxy + 0 = 4 + -2x2 + -1y2
-2absxy = 4 + -2x2 + -1y2

Divide each side by '-2bsxy'.
a = -2b-1s-1x-1y-1 + b-1s-1xy-1 + 0.5b-1s-1x-1y

Simplifying
a = -2b-1s-1x-1y-1 + b-1s-1xy-1 + 0.5b-1s-1x-1y

Reorder the terms:
a = -2b-1s-1x-1y-1 + 0.5b-1s-1x-1y + b-1s-1xy-1

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