(y-2)x(y-3)=9y+6

Solution for (y-2)x(y-3)=9y+6 equation:

Simplifying
(y + -2) * x(y + -3) = 9y + 6

Reorder the terms:
(-2 + y) * x(y + -3) = 9y + 6

Reorder the terms:
(-2 + y) * x(-3 + y) = 9y + 6

Reorder the terms for easier multiplication:
x(-2 + y)(-3 + y) = 9y + 6

Multiply (-2 + y) * (-3 + y)
x(-2(-3 + y) + y(-3 + y)) = 9y + 6
x((-3 * -2 + y * -2) + y(-3 + y)) = 9y + 6
x((6 + -2y) + y(-3 + y)) = 9y + 6
x(6 + -2y + (-3 * y + y * y)) = 9y + 6
x(6 + -2y + (-3y + y2)) = 9y + 6

Combine like terms: -2y + -3y = -5y
x(6 + -5y + y2) = 9y + 6
(6 * x + -5y * x + y2 * x) = 9y + 6
(6x + -5xy + xy2) = 9y + 6

Reorder the terms:
6x + -5xy + xy2 = 6 + 9y

Solving
6x + -5xy + xy2 = 6 + 9y

Solving for variable 'x'.

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

Reorder the terms:
-6 + 6x + -5xy + xy2 + -9y = 6 + 9y + -6 + -9y

Reorder the terms:
-6 + 6x + -5xy + xy2 + -9y = 6 + -6 + 9y + -9y

Combine like terms: 6 + -6 = 0
-6 + 6x + -5xy + xy2 + -9y = 0 + 9y + -9y
-6 + 6x + -5xy + xy2 + -9y = 9y + -9y

Combine like terms: 9y + -9y = 0
-6 + 6x + -5xy + xy2 + -9y = 0

The solution to this equation could not be determined.