x^2+xy-2ax-3y=0

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Solution for x^2+xy-2ax-3y=0 equation:


Simplifying
x2 + xy + -2ax + -3y = 0

Reorder the terms:
-2ax + xy + x2 + -3y = 0

Solving
-2ax + xy + x2 + -3y = 0

Solving for variable 'a'.

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

Add '-1xy' to each side of the equation.
-2ax + xy + x2 + -1xy + -3y = 0 + -1xy

Reorder the terms:
-2ax + xy + -1xy + x2 + -3y = 0 + -1xy

Combine like terms: xy + -1xy = 0
-2ax + 0 + x2 + -3y = 0 + -1xy
-2ax + x2 + -3y = 0 + -1xy
Remove the zero:
-2ax + x2 + -3y = -1xy

Add '-1x2' to each side of the equation.
-2ax + x2 + -1x2 + -3y = -1xy + -1x2

Combine like terms: x2 + -1x2 = 0
-2ax + 0 + -3y = -1xy + -1x2
-2ax + -3y = -1xy + -1x2

Add '3y' to each side of the equation.
-2ax + -3y + 3y = -1xy + -1x2 + 3y

Combine like terms: -3y + 3y = 0
-2ax + 0 = -1xy + -1x2 + 3y
-2ax = -1xy + -1x2 + 3y

Divide each side by '-2x'.
a = 0.5y + 0.5x + -1.5x-1y

Simplifying
a = 0.5y + 0.5x + -1.5x-1y

Reorder the terms:
a = -1.5x-1y + 0.5x + 0.5y

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