(9xy+y-2x)-(6xy-2x)=0

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Solution for (9xy+y-2x)-(6xy-2x)=0 equation:


Simplifying
(9xy + y + -2x) + -1(6xy + -2x) = 0

Reorder the terms:
(-2x + 9xy + y) + -1(6xy + -2x) = 0

Remove parenthesis around (-2x + 9xy + y)
-2x + 9xy + y + -1(6xy + -2x) = 0

Reorder the terms:
-2x + 9xy + y + -1(-2x + 6xy) = 0
-2x + 9xy + y + (-2x * -1 + 6xy * -1) = 0
-2x + 9xy + y + (2x + -6xy) = 0

Reorder the terms:
-2x + 2x + 9xy + -6xy + y = 0

Combine like terms: -2x + 2x = 0
0 + 9xy + -6xy + y = 0
9xy + -6xy + y = 0

Combine like terms: 9xy + -6xy = 3xy
3xy + y = 0

Solving
3xy + y = 0

Solving for variable 'x'.

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

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

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

Divide each side by '3y'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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