y^2-xy+6=0

Solution for y^2-xy+6=0 equation:

Simplifying
y2 + -1xy + 6 = 0

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

Solving
6 + -1xy + y2 = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -1xy + -6 + y2 = 0 + -6

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

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

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

Add '-1y2' to each side of the equation.
-1xy + y2 + -1y2 = -6 + -1y2

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

Divide each side by '-1y'.
x = 6y-1 + y

Simplifying
x = 6y-1 + y