8xy-2x(x+3y)-y(2x+y)=

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Solution for 8xy-2x(x+3y)-y(2x+y)= equation: 


Simplifying
8xy + -2x(x + 3y) + -1y(2x + y) = 0
8xy + (x * -2x + 3y * -2x) + -1y(2x + y) = 0

Reorder the terms:
8xy + (-6xy + -2x2) + -1y(2x + y) = 0
8xy + (-6xy + -2x2) + -1y(2x + y) = 0
8xy + -6xy + -2x2 + (2x * -1y + y * -1y) = 0
8xy + -6xy + -2x2 + (-2xy + -1y2) = 0

Reorder the terms:
8xy + -6xy + -2xy + -2x2 + -1y2 = 0

Combine like terms: 8xy + -6xy = 2xy
2xy + -2xy + -2x2 + -1y2 = 0

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

Solving
-2x2 + -1y2 = 0

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
-2x2 + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
-2x2 + 0 = 0 + y2
-2x2 = 0 + y2
Remove the zero:
-2x2 = y2

Divide each side by '-2'.
x2 = -0.5y2

Simplifying
x2 = -0.5y2

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

The solution to this equation could not be determined.

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