f(x+5)=(1x+5)1x^2+8

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Solution for f(x+5)=(1x+5)1x^2+8 equation: 


Simplifying
f(x + 5) = (1x + 5) * 1x2 + 8

Reorder the terms:
f(5 + x) = (1x + 5) * 1x2 + 8
(5 * f + x * f) = (1x + 5) * 1x2 + 8
(5f + fx) = (1x + 5) * 1x2 + 8

Reorder the terms:
5f + fx = (5 + 1x) * 1x2 + 8

Reorder the terms for easier multiplication:
5f + fx = 1x2(5 + 1x) + 8
5f + fx = (5 * 1x2 + 1x * 1x2) + 8
5f + fx = (5x2 + 1x3) + 8

Reorder the terms:
5f + fx = 8 + 5x2 + 1x3

Solving
5f + fx = 8 + 5x2 + 1x3

Solving for variable 'f'.

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

Reorder the terms:
-8 + 5f + fx + -5x2 + -1x3 = 8 + 5x2 + 1x3 + -8 + -5x2 + -1x3

Reorder the terms:
-8 + 5f + fx + -5x2 + -1x3 = 8 + -8 + 5x2 + -5x2 + 1x3 + -1x3

Combine like terms: 8 + -8 = 0
-8 + 5f + fx + -5x2 + -1x3 = 0 + 5x2 + -5x2 + 1x3 + -1x3
-8 + 5f + fx + -5x2 + -1x3 = 5x2 + -5x2 + 1x3 + -1x3

Combine like terms: 5x2 + -5x2 = 0
-8 + 5f + fx + -5x2 + -1x3 = 0 + 1x3 + -1x3
-8 + 5f + fx + -5x2 + -1x3 = 1x3 + -1x3

Combine like terms: 1x3 + -1x3 = 0
-8 + 5f + fx + -5x2 + -1x3 = 0

The solution to this equation could not be determined.

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