(a-b)(b-c)=

Solution for (a-b)(b-c)= equation:

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

Multiply (a + -1b) * (b + -1c)
(a(b + -1c) + -1b * (b + -1c)) = 0
((b * a + -1c * a) + -1b * (b + -1c)) = 0
((ab + -1ac) + -1b * (b + -1c)) = 0
(ab + -1ac + (b * -1b + -1c * -1b)) = 0

Reorder the terms:
(ab + -1ac + (1bc + -1b2)) = 0
(ab + -1ac + (1bc + -1b2)) = 0
(ab + -1ac + 1bc + -1b2) = 0

Solving
ab + -1ac + 1bc + -1b2 = 0

Solving for variable 'a'.

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

Add '-1bc' to each side of the equation.
ab + -1ac + 1bc + -1bc + -1b2 = 0 + -1bc

Combine like terms: 1bc + -1bc = 0
ab + -1ac + 0 + -1b2 = 0 + -1bc
ab + -1ac + -1b2 = 0 + -1bc
Remove the zero:
ab + -1ac + -1b2 = -1bc

Add 'b2' to each side of the equation.
ab + -1ac + -1b2 + b2 = -1bc + b2

Combine like terms: -1b2 + b2 = 0
ab + -1ac + 0 = -1bc + b2
ab + -1ac = -1bc + b2

Reorder the terms:
ab + -1ac + bc + -1b2 = -1bc + bc + b2 + -1b2

Combine like terms: -1bc + bc = 0
ab + -1ac + bc + -1b2 = 0 + b2 + -1b2
ab + -1ac + bc + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
ab + -1ac + bc + -1b2 = 0

The solution to this equation could not be determined.