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

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

Simplifying
(-1a + -3b + 2) * 4ab = 0

Reorder the terms:
(2 + -1a + -3b) * 4ab = 0

Reorder the terms for easier multiplication:
4ab(2 + -1a + -3b) = 0
(2 * 4ab + -1a * 4ab + -3b * 4ab) = 0

Reorder the terms:
(8ab + -12ab2 + -4a2b) = 0
(8ab + -12ab2 + -4a2b) = 0

Solving
8ab + -12ab2 + -4a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4ab'.
4ab(2 + -3b + -1a) = 0

Ignore the factor 4.
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 '(2 + -3b + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -3b + -1a = 0

Reorder the terms:
2 + -1a + -3b = 0

Solving
2 + -1a + -3b = 0

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

Add '-2' to each side of the equation.
2 + -1a + -2 + -3b = 0 + -2

Reorder the terms:
2 + -2 + -1a + -3b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a + -3b = 0 + -2
-1a + -3b = 0 + -2

Combine like terms: 0 + -2 = -2
-1a + -3b = -2

Add '3b' to each side of the equation.
-1a + -3b + 3b = -2 + 3b

Combine like terms: -3b + 3b = 0
-1a + 0 = -2 + 3b
-1a = -2 + 3b

Divide each side by '-1'.
a = 2 + -3b

Simplifying
a = 2 + -3b
Solution
a = {2 + -3b}