f(a+2)=x^2-5x+1

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


Simplifying
f(a + 2) = x2 + -5x + 1

Reorder the terms:
f(2 + a) = x2 + -5x + 1
(2 * f + a * f) = x2 + -5x + 1

Reorder the terms:
(af + 2f) = x2 + -5x + 1
(af + 2f) = x2 + -5x + 1

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

Solving
af + 2f = 1 + -5x + x2

Solving for variable 'a'.

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

Add '-2f' to each side of the equation.
af + 2f + -2f = 1 + -5x + -2f + x2

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

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

Divide each side by 'f'.
a = f-1 + -2 + -5f-1x + f-1x2

Simplifying
a = f-1 + -2 + -5f-1x + f-1x2

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

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