f(x+5)=x^2-2x-6

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Solution for f(x+5)=x^2-2x-6 equation:


Simplifying
f(x + 5) = x2 + -2x + -6

Reorder the terms:
f(5 + x) = x2 + -2x + -6
(5 * f + x * f) = x2 + -2x + -6
(5f + fx) = x2 + -2x + -6

Reorder the terms:
5f + fx = -6 + -2x + x2

Solving
5f + fx = -6 + -2x + x2

Solving for variable 'f'.

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

Reorder the terms:
6 + 5f + fx + 2x + -1x2 = -6 + -2x + x2 + 6 + 2x + -1x2

Reorder the terms:
6 + 5f + fx + 2x + -1x2 = -6 + 6 + -2x + 2x + x2 + -1x2

Combine like terms: -6 + 6 = 0
6 + 5f + fx + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
6 + 5f + fx + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
6 + 5f + fx + 2x + -1x2 = 0 + x2 + -1x2
6 + 5f + fx + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + 5f + fx + 2x + -1x2 = 0

The solution to this equation could not be determined.

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