f(a+3)=x^2-6x+2

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Solution for f(a+3)=x^2-6x+2 equation: 


Simplifying
f(a + 3) = x2 + -6x + 2

Reorder the terms:
f(3 + a) = x2 + -6x + 2
(3 * f + a * f) = x2 + -6x + 2

Reorder the terms:
(af + 3f) = x2 + -6x + 2
(af + 3f) = x2 + -6x + 2

Reorder the terms:
af + 3f = 2 + -6x + x2

Solving
af + 3f = 2 + -6x + x2

Solving for variable 'a'.

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

Add '-3f' to each side of the equation.
af + 3f + -3f = 2 + -6x + -3f + x2

Combine like terms: 3f + -3f = 0
af + 0 = 2 + -6x + -3f + x2
af = 2 + -6x + -3f + x2

Reorder the terms:
af = 2 + -3f + -6x + x2

Divide each side by 'f'.
a = 2f-1 + -3 + -6f-1x + f-1x2

Simplifying
a = 2f-1 + -3 + -6f-1x + f-1x2

Reorder the terms:
a = -3 + 2f-1 + -6f-1x + f-1x2

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