an=7an-1-10an-2+n^2

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Solution for an=7an-1-10an-2+n^2 equation:


Simplifying
an = 7an + -1 + -10an + -2 + n2

Reorder the terms:
an = -1 + -2 + 7an + -10an + n2

Combine like terms: -1 + -2 = -3
an = -3 + 7an + -10an + n2

Combine like terms: 7an + -10an = -3an
an = -3 + -3an + n2

Solving
an = -3 + -3an + n2

Solving for variable 'a'.

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

Add '3an' to each side of the equation.
an + 3an = -3 + -3an + 3an + n2

Combine like terms: an + 3an = 4an
4an = -3 + -3an + 3an + n2

Combine like terms: -3an + 3an = 0
4an = -3 + 0 + n2
4an = -3 + n2

Divide each side by '4n'.
a = -0.75n-1 + 0.25n

Simplifying
a = -0.75n-1 + 0.25n

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