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

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


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

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

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

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

Solving for variable 'f'.

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

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

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

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

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

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

The solution to this equation could not be determined.

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