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

Solution for (-1a+-3b+4)*4ab=0 equation:

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

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

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

Reorder the terms:
(16ab + -12ab2 + -4a2b) = 0
(16ab + -12ab2 + -4a2b) = 0

Solving
16ab + -12ab2 + -4a2b = 0

Solving for variable 'a'.

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

Simplifying
4 + -3b + -1a = 0

Reorder the terms:
4 + -1a + -3b = 0

Solving
4 + -1a + -3b = 0

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

Add '-4' to each side of the equation.
4 + -1a + -4 + -3b = 0 + -4

Reorder the terms:
4 + -4 + -1a + -3b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a + -3b = 0 + -4
-1a + -3b = 0 + -4

Combine like terms: 0 + -4 = -4
-1a + -3b = -4

Add '3b' to each side of the equation.
-1a + -3b + 3b = -4 + 3b

Combine like terms: -3b + 3b = 0
-1a + 0 = -4 + 3b
-1a = -4 + 3b

Divide each side by '-1'.
a = 4 + -3b

Simplifying
a = 4 + -3b
Solution
a = {4 + -3b}