A(8a+1)=0

Solution for A(8a+1)=0 equation:

Simplifying
A(8a + 1) = 0

Reorder the terms:
A(1 + 8a) = 0
(1 * A + 8a * A) = 0
(1A + 8aA) = 0

Solving
1A + 8aA = 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(1 + 8a) = 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 '(1 + 8a)' equal to zero and attempt to solve:

Simplifying
1 + 8a = 0

Solving
1 + 8a = 0

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

Add '-1' to each side of the equation.
1 + -1 + 8a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8a = 0 + -1
8a = 0 + -1

Combine like terms: 0 + -1 = -1
8a = -1

Add '-8a' to each side of the equation.
8a + -8a = -1 + -8a

Combine like terms: 8a + -8a = 0
0 = -1 + -8a

Simplifying
0 = -1 + -8a

The solution to this equation could not be determined.

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