f(-2)f(x)=2x^4-x^3+5x+1

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Solution for f(-2)f(x)=2x^4-x^3+5x+1 equation: 


Simplifying
f(-2) * f(x) = 2x4 + -1x3 + 5x + 1

Reorder the terms for easier multiplication:
-2f * f * x = 2x4 + -1x3 + 5x + 1

Multiply f * f
-2f2 * x = 2x4 + -1x3 + 5x + 1

Multiply f2 * x
-2f2x = 2x4 + -1x3 + 5x + 1

Reorder the terms:
-2f2x = 1 + 5x + -1x3 + 2x4

Solving
-2f2x = 1 + 5x + -1x3 + 2x4

Solving for variable 'f'.

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

Divide each side by '-2x'.
f2 = -0.5x-1 + -2.5 + 0.5x2 + -1x3

Simplifying
f2 = -0.5x-1 + -2.5 + 0.5x2 + -1x3

Reorder the terms:
f2 = -2.5 + -0.5x-1 + 0.5x2 + -1x3

Reorder the terms:
2.5 + f2 + 0.5x-1 + -0.5x2 + x3 = -2.5 + -0.5x-1 + 0.5x2 + -1x3 + 2.5 + 0.5x-1 + -0.5x2 + x3

Reorder the terms:
2.5 + f2 + 0.5x-1 + -0.5x2 + x3 = -2.5 + 2.5 + -0.5x-1 + 0.5x-1 + 0.5x2 + -0.5x2 + -1x3 + x3

Combine like terms: -2.5 + 2.5 = 0.0
2.5 + f2 + 0.5x-1 + -0.5x2 + x3 = 0.0 + -0.5x-1 + 0.5x-1 + 0.5x2 + -0.5x2 + -1x3 + x3
2.5 + f2 + 0.5x-1 + -0.5x2 + x3 = -0.5x-1 + 0.5x-1 + 0.5x2 + -0.5x2 + -1x3 + x3

Combine like terms: -0.5x-1 + 0.5x-1 = 0.0
2.5 + f2 + 0.5x-1 + -0.5x2 + x3 = 0.0 + 0.5x2 + -0.5x2 + -1x3 + x3
2.5 + f2 + 0.5x-1 + -0.5x2 + x3 = 0.5x2 + -0.5x2 + -1x3 + x3

Combine like terms: 0.5x2 + -0.5x2 = 0.0
2.5 + f2 + 0.5x-1 + -0.5x2 + x3 = 0.0 + -1x3 + x3
2.5 + f2 + 0.5x-1 + -0.5x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
2.5 + f2 + 0.5x-1 + -0.5x2 + x3 = 0

The solution to this equation could not be determined.

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