f(x+h)=x^2-2x+5

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


Simplifying
f(x + h) = x2 + -2x + 5

Reorder the terms:
f(h + x) = x2 + -2x + 5
(h * f + x * f) = x2 + -2x + 5
(fh + fx) = x2 + -2x + 5

Reorder the terms:
fh + fx = 5 + -2x + x2

Solving
fh + fx = 5 + -2x + x2

Solving for variable 'f'.

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

Reorder the terms:
-5 + fh + fx + 2x + -1x2 = 5 + -2x + x2 + -5 + 2x + -1x2

Reorder the terms:
-5 + fh + fx + 2x + -1x2 = 5 + -5 + -2x + 2x + x2 + -1x2

Combine like terms: 5 + -5 = 0
-5 + fh + fx + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
-5 + fh + fx + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-5 + fh + fx + 2x + -1x2 = 0 + x2 + -1x2
-5 + fh + fx + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 + fh + fx + 2x + -1x2 = 0

The solution to this equation could not be determined.

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