(-a-7b+4)6ab=

Solution for (-a-7b+4)6ab= equation:

Simplifying
(-1a + -7b + 4) * 6ab = 0

Reorder the terms:
(4 + -1a + -7b) * 6ab = 0

Reorder the terms for easier multiplication:
6ab(4 + -1a + -7b) = 0
(4 * 6ab + -1a * 6ab + -7b * 6ab) = 0

Reorder the terms:
(24ab + -42ab2 + -6a2b) = 0
(24ab + -42ab2 + -6a2b) = 0

Solving
24ab + -42ab2 + -6a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6ab'.
6ab(4 + -7b + -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 '(4 + -7b + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -7b + -1a = 0

Reorder the terms:
4 + -1a + -7b = 0

Solving
4 + -1a + -7b = 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 + -7b = 0 + -4

Reorder the terms:
4 + -4 + -1a + -7b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a + -7b = 0 + -4
-1a + -7b = 0 + -4

Combine like terms: 0 + -4 = -4
-1a + -7b = -4

Add '7b' to each side of the equation.
-1a + -7b + 7b = -4 + 7b

Combine like terms: -7b + 7b = 0
-1a + 0 = -4 + 7b
-1a = -4 + 7b

Divide each side by '-1'.
a = 4 + -7b

Simplifying
a = 4 + -7b
Solution
a = {4 + -7b}