(xy-6)(y-3)=0

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Solution for (xy-6)(y-3)=0 equation:


Simplifying
(xy + -6)(y + -3) = 0

Reorder the terms:
(-6 + xy)(y + -3) = 0

Reorder the terms:
(-6 + xy)(-3 + y) = 0

Multiply (-6 + xy) * (-3 + y)
(-6(-3 + y) + xy(-3 + y)) = 0
((-3 * -6 + y * -6) + xy(-3 + y)) = 0
((18 + -6y) + xy(-3 + y)) = 0
(18 + -6y + (-3 * xy + y * xy)) = 0
(18 + -6y + (-3xy + xy2)) = 0

Reorder the terms:
(18 + -3xy + xy2 + -6y) = 0
(18 + -3xy + xy2 + -6y) = 0

Solving
18 + -3xy + xy2 + -6y = 0

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -3xy + xy2 + -18 + -6y = 0 + -18

Reorder the terms:
18 + -18 + -3xy + xy2 + -6y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -3xy + xy2 + -6y = 0 + -18
-3xy + xy2 + -6y = 0 + -18

Combine like terms: 0 + -18 = -18
-3xy + xy2 + -6y = -18

Add '6y' to each side of the equation.
-3xy + xy2 + -6y + 6y = -18 + 6y

Combine like terms: -6y + 6y = 0
-3xy + xy2 + 0 = -18 + 6y
-3xy + xy2 = -18 + 6y

Reorder the terms:
18 + -3xy + xy2 + -6y = -18 + 6y + 18 + -6y

Reorder the terms:
18 + -3xy + xy2 + -6y = -18 + 18 + 6y + -6y

Combine like terms: -18 + 18 = 0
18 + -3xy + xy2 + -6y = 0 + 6y + -6y
18 + -3xy + xy2 + -6y = 6y + -6y

Combine like terms: 6y + -6y = 0
18 + -3xy + xy2 + -6y = 0

The solution to this equation could not be determined.

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