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

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

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

Multiply (a + -2b) * (a + -1b)
(a(a + -1b) + -2b * (a + -1b)) = 0
((a * a + -1b * a) + -2b * (a + -1b)) = 0

Reorder the terms:
((-1ab + a2) + -2b * (a + -1b)) = 0
((-1ab + a2) + -2b * (a + -1b)) = 0
(-1ab + a2 + (a * -2b + -1b * -2b)) = 0
(-1ab + a2 + (-2ab + 2b2)) = 0

Reorder the terms:
(-1ab + -2ab + a2 + 2b2) = 0

Combine like terms: -1ab + -2ab = -3ab
(-3ab + a2 + 2b2) = 0

Solving
-3ab + a2 + 2b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -2b)(a + -1b) = 0

Subproblem 1
Set the factor '(a + -2b)' equal to zero and attempt to solve:

Simplifying
a + -2b = 0

Solving
a + -2b = 0

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

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

Combine like terms: -2b + 2b = 0
a + 0 = 0 + 2b
a = 0 + 2b
Remove the zero:
a = 2b

Simplifying
a = 2b
Subproblem 2
Set the factor '(a + -1b)' equal to zero and attempt to solve:

Simplifying
a + -1b = 0

Solving
a + -1b = 0

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

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

Combine like terms: -1b + b = 0
a + 0 = 0 + b
a = 0 + b
Remove the zero:
a = b

Simplifying
a = b
Solution
a = {2b, b}