6aq-4+2=3a+1

Solution for 6aq-4+2=3a+1 equation:

Simplifying
6aq + -4 + 2 = 3a + 1

Reorder the terms:
-4 + 2 + 6aq = 3a + 1

Combine like terms: -4 + 2 = -2
-2 + 6aq = 3a + 1

Reorder the terms:
-2 + 6aq = 1 + 3a

Solving
-2 + 6aq = 1 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-2 + -3a + 6aq = 1 + 3a + -3a

Combine like terms: 3a + -3a = 0
-2 + -3a + 6aq = 1 + 0
-2 + -3a + 6aq = 1

Add '2' to each side of the equation.
-2 + -3a + 2 + 6aq = 1 + 2

Reorder the terms:
-2 + 2 + -3a + 6aq = 1 + 2

Combine like terms: -2 + 2 = 0
0 + -3a + 6aq = 1 + 2
-3a + 6aq = 1 + 2

Combine like terms: 1 + 2 = 3
-3a + 6aq = 3

Reorder the terms:
-3 + -3a + 6aq = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -3a + 6aq = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -1a + 2aq) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + -1a + 2aq)' equal to zero and attempt to solve:

Simplifying
-1 + -1a + 2aq = 0

Solving
-1 + -1a + 2aq = 0

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

Add '1' to each side of the equation.
-1 + -1a + 1 + 2aq = 0 + 1

Reorder the terms:
-1 + 1 + -1a + 2aq = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1a + 2aq = 0 + 1
-1a + 2aq = 0 + 1

Combine like terms: 0 + 1 = 1
-1a + 2aq = 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.