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

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


Simplifying
f(x) = 3x3 + (-4 + -3i) * x2 + (-5 + -2i) * x + (2 + i)

Multiply f * x
fx = 3x3 + (-4 + -3i) * x2 + (-5 + -2i) * x + (2 + i)

Reorder the terms for easier multiplication:
fx = 3x3 + x2(-4 + -3i) + (-5 + -2i) * x + (2 + i)
fx = 3x3 + (-4 * x2 + -3i * x2) + (-5 + -2i) * x + (2 + i)

Reorder the terms:
fx = 3x3 + (-3ix2 + -4x2) + (-5 + -2i) * x + (2 + i)
fx = 3x3 + (-3ix2 + -4x2) + (-5 + -2i) * x + (2 + i)

Reorder the terms for easier multiplication:
fx = 3x3 + -3ix2 + -4x2 + x(-5 + -2i) + (2 + i)
fx = 3x3 + -3ix2 + -4x2 + (-5 * x + -2i * x) + (2 + i)

Reorder the terms:
fx = 3x3 + -3ix2 + -4x2 + (-2ix + -5x) + (2 + i)
fx = 3x3 + -3ix2 + -4x2 + (-2ix + -5x) + (2 + i)

Remove parenthesis around (2 + i)
fx = 3x3 + -3ix2 + -4x2 + -2ix + -5x + 2 + i

Reorder the terms:
fx = 2 + i + -2ix + -3ix2 + -5x + -4x2 + 3x3

Solving
fx = 2 + i + -2ix + -3ix2 + -5x + -4x2 + 3x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 2x-1 + ix-1 + -2i + -3ix + -5 + -4x + 3x2

Simplifying
f = 2x-1 + ix-1 + -2i + -3ix + -5 + -4x + 3x2

Reorder the terms:
f = -5 + -2i + ix-1 + -3ix + 2x-1 + -4x + 3x2

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