f(x+5)=x^2+2x+8

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Solution for f(x+5)=x^2+2x+8 equation: 


Simplifying
f(x + 5) = x2 + 2x + 8

Reorder the terms:
f(5 + x) = x2 + 2x + 8
(5 * f + x * f) = x2 + 2x + 8
(5f + fx) = x2 + 2x + 8

Reorder the terms:
5f + fx = 8 + 2x + x2

Solving
5f + fx = 8 + 2x + x2

Solving for variable 'f'.

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

Reorder the terms:
-8 + 5f + fx + -2x + -1x2 = 8 + 2x + x2 + -8 + -2x + -1x2

Reorder the terms:
-8 + 5f + fx + -2x + -1x2 = 8 + -8 + 2x + -2x + x2 + -1x2

Combine like terms: 8 + -8 = 0
-8 + 5f + fx + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
-8 + 5f + fx + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-8 + 5f + fx + -2x + -1x2 = 0 + x2 + -1x2
-8 + 5f + fx + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 5f + fx + -2x + -1x2 = 0

The solution to this equation could not be determined.

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