(-a-4b+3)7ab=

Solution for (-a-4b+3)7ab= equation:

Simplifying
(-1a + -4b + 3) * 7ab = 0

Reorder the terms:
(3 + -1a + -4b) * 7ab = 0

Reorder the terms for easier multiplication:
7ab(3 + -1a + -4b) = 0
(3 * 7ab + -1a * 7ab + -4b * 7ab) = 0

Reorder the terms:
(21ab + -28ab2 + -7a2b) = 0
(21ab + -28ab2 + -7a2b) = 0

Solving
21ab + -28ab2 + -7a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '7ab'.
7ab(3 + -4b + -1a) = 0

Ignore the factor 7.
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 + -4b + -1a)' equal to zero and attempt to solve:

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

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

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

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

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

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

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

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

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

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