(x+3)(y-2)=0

Solution for (x+3)(y-2)=0 equation:

Simplifying
(x + 3)(y + -2) = 0

Reorder the terms:
(3 + x)(y + -2) = 0

Reorder the terms:
(3 + x)(-2 + y) = 0

Multiply (3 + x) * (-2 + y)
(3(-2 + y) + x(-2 + y)) = 0
((-2 * 3 + y * 3) + x(-2 + y)) = 0
((-6 + 3y) + x(-2 + y)) = 0
(-6 + 3y + (-2 * x + y * x)) = 0
(-6 + 3y + (-2x + xy)) = 0

Reorder the terms:
(-6 + -2x + xy + 3y) = 0
(-6 + -2x + xy + 3y) = 0

Solving
-6 + -2x + xy + 3y = 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 + -2x + xy + 6 + 3y = 0 + 6

Reorder the terms:
-6 + 6 + -2x + xy + 3y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -2x + xy + 3y = 0 + 6
-2x + xy + 3y = 0 + 6

Combine like terms: 0 + 6 = 6
-2x + xy + 3y = 6

Add '-3y' to each side of the equation.
-2x + xy + 3y + -3y = 6 + -3y

Combine like terms: 3y + -3y = 0
-2x + xy + 0 = 6 + -3y
-2x + xy = 6 + -3y

Reorder the terms:
-6 + -2x + xy + 3y = 6 + -3y + -6 + 3y

Reorder the terms:
-6 + -2x + xy + 3y = 6 + -6 + -3y + 3y

Combine like terms: 6 + -6 = 0
-6 + -2x + xy + 3y = 0 + -3y + 3y
-6 + -2x + xy + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
-6 + -2x + xy + 3y = 0

The solution to this equation could not be determined.