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

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

Simplifying
a2 + -1(a + 2b) * a + 2a2 + -1a(3a + b) = 0

Reorder the terms for easier multiplication:
a2 + -1a(a + 2b) + 2a2 + -1a(3a + b) = 0
a2 + (a * -1a + 2b * -1a) + 2a2 + -1a(3a + b) = 0

Reorder the terms:
a2 + (-2ab + -1a2) + 2a2 + -1a(3a + b) = 0
a2 + (-2ab + -1a2) + 2a2 + -1a(3a + b) = 0
a2 + -2ab + -1a2 + 2a2 + (3a * -1a + b * -1a) = 0

Reorder the terms:
a2 + -2ab + -1a2 + 2a2 + (-1ab + -3a2) = 0
a2 + -2ab + -1a2 + 2a2 + (-1ab + -3a2) = 0

Reorder the terms:
-2ab + -1ab + a2 + -1a2 + 2a2 + -3a2 = 0

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

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

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

Solving
-3ab + -1a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(3b + a) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(3b + a)' equal to zero and attempt to solve:

Simplifying
3b + a = 0

Reorder the terms:
a + 3b = 0

Solving
a + 3b = 0

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

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

Combine like terms: 3b + -3b = 0
a + 0 = 0 + -3b
a = 0 + -3b
Remove the zero:
a = -3b

Simplifying
a = -3b
Solution
a = {0, -3b}