f(x+5)=x^3-x^2-21x+45

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Solution for f(x+5)=x^3-x^2-21x+45 equation:


Simplifying
f(x + 5) = x3 + -1x2 + -21x + 45

Reorder the terms:
f(5 + x) = x3 + -1x2 + -21x + 45
(5 * f + x * f) = x3 + -1x2 + -21x + 45
(5f + fx) = x3 + -1x2 + -21x + 45

Reorder the terms:
5f + fx = 45 + -21x + -1x2 + x3

Solving
5f + fx = 45 + -21x + -1x2 + x3

Solving for variable 'f'.

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

Reorder the terms:
-45 + 5f + fx + 21x + x2 + -1x3 = 45 + -21x + -1x2 + x3 + -45 + 21x + x2 + -1x3

Reorder the terms:
-45 + 5f + fx + 21x + x2 + -1x3 = 45 + -45 + -21x + 21x + -1x2 + x2 + x3 + -1x3

Combine like terms: 45 + -45 = 0
-45 + 5f + fx + 21x + x2 + -1x3 = 0 + -21x + 21x + -1x2 + x2 + x3 + -1x3
-45 + 5f + fx + 21x + x2 + -1x3 = -21x + 21x + -1x2 + x2 + x3 + -1x3

Combine like terms: -21x + 21x = 0
-45 + 5f + fx + 21x + x2 + -1x3 = 0 + -1x2 + x2 + x3 + -1x3
-45 + 5f + fx + 21x + x2 + -1x3 = -1x2 + x2 + x3 + -1x3

Combine like terms: -1x2 + x2 = 0
-45 + 5f + fx + 21x + x2 + -1x3 = 0 + x3 + -1x3
-45 + 5f + fx + 21x + x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-45 + 5f + fx + 21x + x2 + -1x3 = 0

The solution to this equation could not be determined.

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