f(x+1)=x^2+2x+9

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Solution for f(x+1)=x^2+2x+9 equation: 


Simplifying
f(x + 1) = x2 + 2x + 9

Reorder the terms:
f(1 + x) = x2 + 2x + 9
(1 * f + x * f) = x2 + 2x + 9
(1f + fx) = x2 + 2x + 9

Reorder the terms:
1f + fx = 9 + 2x + x2

Solving
1f + fx = 9 + 2x + x2

Solving for variable 'f'.

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

Reorder the terms:
-9 + 1f + fx + -2x + -1x2 = 9 + 2x + x2 + -9 + -2x + -1x2

Reorder the terms:
-9 + 1f + fx + -2x + -1x2 = 9 + -9 + 2x + -2x + x2 + -1x2

Combine like terms: 9 + -9 = 0
-9 + 1f + fx + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
-9 + 1f + fx + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-9 + 1f + fx + -2x + -1x2 = 0 + x2 + -1x2
-9 + 1f + fx + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 1f + fx + -2x + -1x2 = 0

The solution to this equation could not be determined.

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