f(2+i)=x^4-9x^3+36x^2-77x+39

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Solution for f(2+i)=x^4-9x^3+36x^2-77x+39 equation: 


Simplifying
f(2 + i) = x4 + -9x3 + 36x2 + -77x + 39
(2 * f + i * f) = x4 + -9x3 + 36x2 + -77x + 39
(2f + fi) = x4 + -9x3 + 36x2 + -77x + 39

Reorder the terms:
2f + fi = 39 + -77x + 36x2 + -9x3 + x4

Solving
2f + fi = 39 + -77x + 36x2 + -9x3 + x4

Solving for variable 'f'.

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

Reorder the terms:
-39 + 2f + fi + 77x + -36x2 + 9x3 + -1x4 = 39 + -77x + 36x2 + -9x3 + x4 + -39 + 77x + -36x2 + 9x3 + -1x4

Reorder the terms:
-39 + 2f + fi + 77x + -36x2 + 9x3 + -1x4 = 39 + -39 + -77x + 77x + 36x2 + -36x2 + -9x3 + 9x3 + x4 + -1x4

Combine like terms: 39 + -39 = 0
-39 + 2f + fi + 77x + -36x2 + 9x3 + -1x4 = 0 + -77x + 77x + 36x2 + -36x2 + -9x3 + 9x3 + x4 + -1x4
-39 + 2f + fi + 77x + -36x2 + 9x3 + -1x4 = -77x + 77x + 36x2 + -36x2 + -9x3 + 9x3 + x4 + -1x4

Combine like terms: -77x + 77x = 0
-39 + 2f + fi + 77x + -36x2 + 9x3 + -1x4 = 0 + 36x2 + -36x2 + -9x3 + 9x3 + x4 + -1x4
-39 + 2f + fi + 77x + -36x2 + 9x3 + -1x4 = 36x2 + -36x2 + -9x3 + 9x3 + x4 + -1x4

Combine like terms: 36x2 + -36x2 = 0
-39 + 2f + fi + 77x + -36x2 + 9x3 + -1x4 = 0 + -9x3 + 9x3 + x4 + -1x4
-39 + 2f + fi + 77x + -36x2 + 9x3 + -1x4 = -9x3 + 9x3 + x4 + -1x4

Combine like terms: -9x3 + 9x3 = 0
-39 + 2f + fi + 77x + -36x2 + 9x3 + -1x4 = 0 + x4 + -1x4
-39 + 2f + fi + 77x + -36x2 + 9x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-39 + 2f + fi + 77x + -36x2 + 9x3 + -1x4 = 0

The solution to this equation could not be determined.

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