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

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

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

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

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

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

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

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4ab'.
4ab(3 + -2b + -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 '(3 + -2b + -1a)' equal to zero and attempt to solve:

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

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

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

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

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

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

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

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

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

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

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

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