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

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

Simplifying
a(b + -2) + -1(b + -2) = 0

Reorder the terms:
a(-2 + b) + -1(b + -2) = 0
(-2 * a + b * a) + -1(b + -2) = 0
(-2a + ab) + -1(b + -2) = 0

Reorder the terms:
-2a + ab + -1(-2 + b) = 0
-2a + ab + (-2 * -1 + b * -1) = 0
-2a + ab + (2 + -1b) = 0

Reorder the terms:
2 + -2a + ab + -1b = 0

Solving
2 + -2a + ab + -1b = 0

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -2a + ab + -2 + -1b = 0 + -2

Reorder the terms:
2 + -2 + -2a + ab + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2a + ab + -1b = 0 + -2
-2a + ab + -1b = 0 + -2

Combine like terms: 0 + -2 = -2
-2a + ab + -1b = -2

Add 'b' to each side of the equation.
-2a + ab + -1b + b = -2 + b

Combine like terms: -1b + b = 0
-2a + ab + 0 = -2 + b
-2a + ab = -2 + b

Reorder the terms:
2 + -2a + ab + -1b = -2 + b + 2 + -1b

Reorder the terms:
2 + -2a + ab + -1b = -2 + 2 + b + -1b

Combine like terms: -2 + 2 = 0
2 + -2a + ab + -1b = 0 + b + -1b
2 + -2a + ab + -1b = b + -1b

Combine like terms: b + -1b = 0
2 + -2a + ab + -1b = 0

The solution to this equation could not be determined.