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

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

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

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

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

Reorder the terms:
(42ab + -28ab2 + -7a2b) = 0
(42ab + -28ab2 + -7a2b) = 0

Solving
42ab + -28ab2 + -7a2b = 0

Solving for variable 'a'.

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

Simplifying
6 + -4b + -1a = 0

Reorder the terms:
6 + -1a + -4b = 0

Solving
6 + -1a + -4b = 0

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

Add '-6' to each side of the equation.
6 + -1a + -6 + -4b = 0 + -6

Reorder the terms:
6 + -6 + -1a + -4b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a + -4b = 0 + -6
-1a + -4b = 0 + -6

Combine like terms: 0 + -6 = -6
-1a + -4b = -6

Add '4b' to each side of the equation.
-1a + -4b + 4b = -6 + 4b

Combine like terms: -4b + 4b = 0
-1a + 0 = -6 + 4b
-1a = -6 + 4b

Divide each side by '-1'.
a = 6 + -4b

Simplifying
a = 6 + -4b
Solution
a = {6 + -4b}