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

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

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

Combine like terms: 2 + -3 = -1
(-1)(a + -3) = 0

Reorder the terms:
-1(-3 + a) = 0
(-3 * -1 + a * -1) = 0
(3 + -1a) = 0

Solving
3 + -1a = 0

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + -1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 0 + -3
-1a = 0 + -3

Combine like terms: 0 + -3 = -3
-1a = -3

Divide each side by '-1'.
a = 3

Simplifying
a = 3