4a^2b+2ab-(a^2-4ab)=

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

Simplifying
4a2b + 2ab + -1(a2 + -4ab) = 0

Reorder the terms:
4a2b + 2ab + -1(-4ab + a2) = 0
4a2b + 2ab + (-4ab * -1 + a2 * -1) = 0
4a2b + 2ab + (4ab + -1a2) = 0

Reorder the terms:
2ab + 4ab + -1a2 + 4a2b = 0

Combine like terms: 2ab + 4ab = 6ab
6ab + -1a2 + 4a2b = 0

Solving
6ab + -1a2 + 4a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(6b + -1a + 4ab) = 0

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 '(6b + -1a + 4ab)' equal to zero and attempt to solve:

Simplifying
6b + -1a + 4ab = 0

Reorder the terms:
-1a + 4ab + 6b = 0

Solving
-1a + 4ab + 6b = 0

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

Add '-6b' to each side of the equation.
-1a + 4ab + 6b + -6b = 0 + -6b

Combine like terms: 6b + -6b = 0
-1a + 4ab + 0 = 0 + -6b
-1a + 4ab = 0 + -6b
Remove the zero:
-1a + 4ab = -6b

The solution to this equation could not be determined.

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