an-8ab+14ab=

Solution for an-8ab+14ab= equation:

Simplifying
an + -8ab + 14ab = 0

Reorder the terms:
-8ab + 14ab + an = 0

Combine like terms: -8ab + 14ab = 6ab
6ab + an = 0

Solving
6ab + an = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(6b + n) = 0

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(6b + n)' equal to zero and attempt to solve:

Simplifying
6b + n = 0

Solving
6b + n = 0

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

Add '-6b' to each side of the equation.
6b + -6b + n = 0 + -6b

Combine like terms: 6b + -6b = 0
0 + n = 0 + -6b
n = 0 + -6b
Remove the zero:
n = -6b

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

Combine like terms: n + -1n = 0
0 = -6b + -1n

Simplifying
0 = -6b + -1n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}