F(k-1)givenf(x)=4x^2-2x+1

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Solution for F(k-1)givenf(x)=4x^2-2x+1 equation:


Simplifying
F(k + -1) * givenf(x) = 4x2 + -2x + 1

Reorder the terms:
F(-1 + k) * givenf(x) = 4x2 + -2x + 1

Reorder the terms for easier multiplication:
F * efginv * x(-1 + k) = 4x2 + -2x + 1

Multiply F * efginv
efginvF * x(-1 + k) = 4x2 + -2x + 1

Multiply efginvF * x
efginvxF(-1 + k) = 4x2 + -2x + 1
(-1 * efginvxF + k * efginvxF) = 4x2 + -2x + 1

Reorder the terms:
(efgiknvxF + -1efginvxF) = 4x2 + -2x + 1
(efgiknvxF + -1efginvxF) = 4x2 + -2x + 1

Reorder the terms:
efgiknvxF + -1efginvxF = 1 + -2x + 4x2

Solving
efgiknvxF + -1efginvxF = 1 + -2x + 4x2

Solving for variable 'e'.

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

Reorder the terms:
-1 + efgiknvxF + -1efginvxF + 2x + -4x2 = 1 + -2x + 4x2 + -1 + 2x + -4x2

Reorder the terms:
-1 + efgiknvxF + -1efginvxF + 2x + -4x2 = 1 + -1 + -2x + 2x + 4x2 + -4x2

Combine like terms: 1 + -1 = 0
-1 + efgiknvxF + -1efginvxF + 2x + -4x2 = 0 + -2x + 2x + 4x2 + -4x2
-1 + efgiknvxF + -1efginvxF + 2x + -4x2 = -2x + 2x + 4x2 + -4x2

Combine like terms: -2x + 2x = 0
-1 + efgiknvxF + -1efginvxF + 2x + -4x2 = 0 + 4x2 + -4x2
-1 + efgiknvxF + -1efginvxF + 2x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-1 + efgiknvxF + -1efginvxF + 2x + -4x2 = 0

The solution to this equation could not be determined.

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