f(x-1)=x^3+3x^2+7x

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Solution for f(x-1)=x^3+3x^2+7x equation: 


Simplifying
f(x + -1) = x3 + 3x2 + 7x

Reorder the terms:
f(-1 + x) = x3 + 3x2 + 7x
(-1 * f + x * f) = x3 + 3x2 + 7x
(-1f + fx) = x3 + 3x2 + 7x

Reorder the terms:
-1f + fx = 7x + 3x2 + x3

Solving
-1f + fx = 7x + 3x2 + x3

Solving for variable 'f'.

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

Reorder the terms:
-1f + fx + -7x + -3x2 + -1x3 = 7x + -7x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: 7x + -7x = 0
-1f + fx + -7x + -3x2 + -1x3 = 0 + 3x2 + -3x2 + x3 + -1x3
-1f + fx + -7x + -3x2 + -1x3 = 3x2 + -3x2 + x3 + -1x3

Combine like terms: 3x2 + -3x2 = 0
-1f + fx + -7x + -3x2 + -1x3 = 0 + x3 + -1x3
-1f + fx + -7x + -3x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-1f + fx + -7x + -3x2 + -1x3 = 0

The solution to this equation could not be determined.

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