a=2a(2)+4ab

Solution for a=2a(2)+4ab equation:

Simplifying
a = 2a(2) + 4ab

Reorder the terms for easier multiplication:
a = 2 * 2a + 4ab

Multiply 2 * 2
a = 4a + 4ab

Solving
a = 4a + 4ab

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
a + -4a = 4a + -4a + 4ab

Combine like terms: a + -4a = -3a
-3a = 4a + -4a + 4ab

Combine like terms: 4a + -4a = 0
-3a = 0 + 4ab
-3a = 4ab

Add '-4ab' to each side of the equation.
-3a + -4ab = 4ab + -4ab

Combine like terms: 4ab + -4ab = 0
-3a + -4ab = 0

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(3 + 4b) = 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 '(3 + 4b)' equal to zero and attempt to solve:

Simplifying
3 + 4b = 0

Solving
3 + 4b = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4b = 0 + -3
4b = 0 + -3

Combine like terms: 0 + -3 = -3
4b = -3

Add '-4b' to each side of the equation.
4b + -4b = -3 + -4b

Combine like terms: 4b + -4b = 0
0 = -3 + -4b

Simplifying
0 = -3 + -4b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}