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

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


Simplifying
f(k2 + -1) = -1x2 + -2x + 1

Reorder the terms:
f(-1 + k2) = -1x2 + -2x + 1
(-1 * f + k2 * f) = -1x2 + -2x + 1
(-1f + fk2) = -1x2 + -2x + 1

Reorder the terms:
-1f + fk2 = 1 + -2x + -1x2

Solving
-1f + fk2 = 1 + -2x + -1x2

Solving for variable 'f'.

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

Reorder the terms:
-1 + -1f + fk2 + 2x + x2 = 1 + -2x + -1x2 + -1 + 2x + x2

Reorder the terms:
-1 + -1f + fk2 + 2x + x2 = 1 + -1 + -2x + 2x + -1x2 + x2

Combine like terms: 1 + -1 = 0
-1 + -1f + fk2 + 2x + x2 = 0 + -2x + 2x + -1x2 + x2
-1 + -1f + fk2 + 2x + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
-1 + -1f + fk2 + 2x + x2 = 0 + -1x2 + x2
-1 + -1f + fk2 + 2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1 + -1f + fk2 + 2x + x2 = 0

The solution to this equation could not be determined.

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