f(x+4)=(x^2-2x+7)

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Solution for f(x+4)=(x^2-2x+7) equation:


Simplifying
f(x + 4) = (x2 + -2x + 7)

Reorder the terms:
f(4 + x) = (x2 + -2x + 7)
(4 * f + x * f) = (x2 + -2x + 7)
(4f + fx) = (x2 + -2x + 7)

Reorder the terms:
4f + fx = (7 + -2x + x2)

Remove parenthesis around (7 + -2x + x2)
4f + fx = 7 + -2x + x2

Solving
4f + fx = 7 + -2x + x2

Solving for variable 'f'.

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

Reorder the terms:
-7 + 4f + fx + 2x + -1x2 = 7 + -2x + x2 + -7 + 2x + -1x2

Reorder the terms:
-7 + 4f + fx + 2x + -1x2 = 7 + -7 + -2x + 2x + x2 + -1x2

Combine like terms: 7 + -7 = 0
-7 + 4f + fx + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
-7 + 4f + fx + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-7 + 4f + fx + 2x + -1x2 = 0 + x2 + -1x2
-7 + 4f + fx + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7 + 4f + fx + 2x + -1x2 = 0

The solution to this equation could not be determined.

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