(a-2)(b+3)=0

Solution for (a-2)(b+3)=0 equation:

Simplifying
(a + -2)(b + 3) = 0

Reorder the terms:
(-2 + a)(b + 3) = 0

Reorder the terms:
(-2 + a)(3 + b) = 0

Multiply (-2 + a) * (3 + b)
(-2(3 + b) + a(3 + b)) = 0
((3 * -2 + b * -2) + a(3 + b)) = 0
((-6 + -2b) + a(3 + b)) = 0
(-6 + -2b + (3 * a + b * a)) = 0
(-6 + -2b + (3a + ab)) = 0

Reorder the terms:
(-6 + 3a + ab + -2b) = 0
(-6 + 3a + ab + -2b) = 0

Solving
-6 + 3a + ab + -2b = 0

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 3a + ab + 6 + -2b = 0 + 6

Reorder the terms:
-6 + 6 + 3a + ab + -2b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3a + ab + -2b = 0 + 6
3a + ab + -2b = 0 + 6

Combine like terms: 0 + 6 = 6
3a + ab + -2b = 6

Add '2b' to each side of the equation.
3a + ab + -2b + 2b = 6 + 2b

Combine like terms: -2b + 2b = 0
3a + ab + 0 = 6 + 2b
3a + ab = 6 + 2b

Reorder the terms:
-6 + 3a + ab + -2b = 6 + 2b + -6 + -2b

Reorder the terms:
-6 + 3a + ab + -2b = 6 + -6 + 2b + -2b

Combine like terms: 6 + -6 = 0
-6 + 3a + ab + -2b = 0 + 2b + -2b
-6 + 3a + ab + -2b = 2b + -2b

Combine like terms: 2b + -2b = 0
-6 + 3a + ab + -2b = 0

The solution to this equation could not be determined.