f(x+8)=x^2+8x+1

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Solution for f(x+8)=x^2+8x+1 equation: 


Simplifying
f(x + 8) = x2 + 8x + 1

Reorder the terms:
f(8 + x) = x2 + 8x + 1
(8 * f + x * f) = x2 + 8x + 1
(8f + fx) = x2 + 8x + 1

Reorder the terms:
8f + fx = 1 + 8x + x2

Solving
8f + fx = 1 + 8x + x2

Solving for variable 'f'.

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

Reorder the terms:
-1 + 8f + fx + -8x + -1x2 = 1 + 8x + x2 + -1 + -8x + -1x2

Reorder the terms:
-1 + 8f + fx + -8x + -1x2 = 1 + -1 + 8x + -8x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + 8f + fx + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
-1 + 8f + fx + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
-1 + 8f + fx + -8x + -1x2 = 0 + x2 + -1x2
-1 + 8f + fx + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + 8f + fx + -8x + -1x2 = 0

The solution to this equation could not be determined.

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