an+2-7an+1+12an=0

Solution for an+2-7an+1+12an=0 equation:

Simplifying
an + 2 + -7an + 1 + 12an = 0

Reorder the terms:
2 + 1 + an + -7an + 12an = 0

Combine like terms: 2 + 1 = 3
3 + an + -7an + 12an = 0

Combine like terms: an + -7an = -6an
3 + -6an + 12an = 0

Combine like terms: -6an + 12an = 6an
3 + 6an = 0

Solving
3 + 6an = 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 + -3 + 6an = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 6an = 0 + -3
6an = 0 + -3

Combine like terms: 0 + -3 = -3
6an = -3

Divide each side by '6n'.
a = -0.5n-1

Simplifying
a = -0.5n-1