8a-2=12qa

Solution for 8a-2=12qa equation:

Simplifying
8a + -2 = 12qa

Reorder the terms:
-2 + 8a = 12qa

Solving
-2 + 8a = 12aq

Solving for variable 'a'.

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

Add '-12aq' to each side of the equation.
-2 + 8a + -12aq = 12aq + -12aq

Combine like terms: 12aq + -12aq = 0
-2 + 8a + -12aq = 0

Add '2' to each side of the equation.
-2 + 8a + 2 + -12aq = 0 + 2

Reorder the terms:
-2 + 2 + 8a + -12aq = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 8a + -12aq = 0 + 2
8a + -12aq = 0 + 2

Combine like terms: 0 + 2 = 2
8a + -12aq = 2

Reorder the terms:
-2 + 8a + -12aq = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 8a + -12aq = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 4a + -6aq) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + 4a + -6aq)' equal to zero and attempt to solve:

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

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

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

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

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

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.