3+6(5a+4an)+9na=

Solution for 3+6(5a+4an)+9na= equation:

Simplifying
3 + 6(5a + 4an) + 9na = 0
3 + (5a * 6 + 4an * 6) + 9na = 0
3 + (30a + 24an) + 9na = 0

Combine like terms: 24an + 9an = 33an
3 + 30a + 33an = 0

Solving
3 + 30a + 33an = 0

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + 30a + -3 + 33an = 0 + -3

Reorder the terms:
3 + -3 + 30a + 33an = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 30a + 33an = 0 + -3
30a + 33an = 0 + -3

Combine like terms: 0 + -3 = -3
30a + 33an = -3

Reorder the terms:
3 + 30a + 33an = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 30a + 33an = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + 10a + 11an) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + 10a + 11an)' equal to zero and attempt to solve:

Simplifying
1 + 10a + 11an = 0

Solving
1 + 10a + 11an = 0

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

Add '-1' to each side of the equation.
1 + 10a + -1 + 11an = 0 + -1

Reorder the terms:
1 + -1 + 10a + 11an = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10a + 11an = 0 + -1
10a + 11an = 0 + -1

Combine like terms: 0 + -1 = -1
10a + 11an = -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.