A(a-6)=0

Solution for A(a-6)=0 equation:

Simplifying
A(a + -6) = 0

Reorder the terms:
A(-6 + a) = 0
(-6 * A + a * A) = 0
(-6A + aA) = 0

Solving
-6A + aA = 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(-6 + a) = 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 '(-6 + a)' equal to zero and attempt to solve:

Simplifying
-6 + a = 0

Solving
-6 + a = 0

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

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

Combine like terms: -6 + 6 = 0
0 + a = 0 + 6
a = 0 + 6

Combine like terms: 0 + 6 = 6
a = 6

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

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

Simplifying
0 = 6 + -1a

The solution to this equation could not be determined.

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