(-4a^2b+3ab^2+ab)-(2a^2b-3ab^2-5ab)=

Solution for (-4a^2b+3ab^2+ab)-(2a^2b-3ab^2-5ab)= equation:

Simplifying
(-4a2b + 3ab2 + ab) + -1(2a2b + -3ab2 + -5ab) = 0

Reorder the terms:
(ab + 3ab2 + -4a2b) + -1(2a2b + -3ab2 + -5ab) = 0

Remove parenthesis around (ab + 3ab2 + -4a2b)
ab + 3ab2 + -4a2b + -1(2a2b + -3ab2 + -5ab) = 0

Reorder the terms:
ab + 3ab2 + -4a2b + -1(-5ab + -3ab2 + 2a2b) = 0
ab + 3ab2 + -4a2b + (-5ab * -1 + -3ab2 * -1 + 2a2b * -1) = 0
ab + 3ab2 + -4a2b + (5ab + 3ab2 + -2a2b) = 0

Reorder the terms:
ab + 5ab + 3ab2 + 3ab2 + -4a2b + -2a2b = 0

Combine like terms: ab + 5ab = 6ab
6ab + 3ab2 + 3ab2 + -4a2b + -2a2b = 0

Combine like terms: 3ab2 + 3ab2 = 6ab2
6ab + 6ab2 + -4a2b + -2a2b = 0

Combine like terms: -4a2b + -2a2b = -6a2b
6ab + 6ab2 + -6a2b = 0

Solving
6ab + 6ab2 + -6a2b = 0

Solving for variable 'a'.

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

Ignore the factor 6.
Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve:

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + b + -1a)' equal to zero and attempt to solve:

Simplifying
1 + b + -1a = 0

Reorder the terms:
1 + -1a + b = 0

Solving
1 + -1a + b = 0

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

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

Reorder the terms:
1 + -1 + -1a + b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1a + b = 0 + -1
-1a + b = 0 + -1

Combine like terms: 0 + -1 = -1
-1a + b = -1

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

Combine like terms: b + -1b = 0
-1a + 0 = -1 + -1b
-1a = -1 + -1b

Divide each side by '-1'.
a = 1 + b

Simplifying
a = 1 + b
Solution
a = {1 + b}