f(x+1)=3x^2+2x-6

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Solution for f(x+1)=3x^2+2x-6 equation: 


Simplifying
f(x + 1) = 3x2 + 2x + -6

Reorder the terms:
f(1 + x) = 3x2 + 2x + -6
(1 * f + x * f) = 3x2 + 2x + -6
(1f + fx) = 3x2 + 2x + -6

Reorder the terms:
1f + fx = -6 + 2x + 3x2

Solving
1f + fx = -6 + 2x + 3x2

Solving for variable 'f'.

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

Reorder the terms:
6 + 1f + fx + -2x + -3x2 = -6 + 2x + 3x2 + 6 + -2x + -3x2

Reorder the terms:
6 + 1f + fx + -2x + -3x2 = -6 + 6 + 2x + -2x + 3x2 + -3x2

Combine like terms: -6 + 6 = 0
6 + 1f + fx + -2x + -3x2 = 0 + 2x + -2x + 3x2 + -3x2
6 + 1f + fx + -2x + -3x2 = 2x + -2x + 3x2 + -3x2

Combine like terms: 2x + -2x = 0
6 + 1f + fx + -2x + -3x2 = 0 + 3x2 + -3x2
6 + 1f + fx + -2x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
6 + 1f + fx + -2x + -3x2 = 0

The solution to this equation could not be determined.

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