f(x)=x^2-5x+2ix-5x-2ix+25-10i+10i-4i^2

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Solution for f(x)=x^2-5x+2ix-5x-2ix+25-10i+10i-4i^2 equation: 


Simplifying
f(x) = x2 + -5x + 2ix + -5x + -2ix + 25 + -10i + 10i + -4i2

Multiply f * x
fx = x2 + -5x + 2ix + -5x + -2ix + 25 + -10i + 10i + -4i2

Reorder the terms:
fx = 25 + -10i + 10i + 2ix + -2ix + -4i2 + -5x + -5x + x2

Combine like terms: -10i + 10i = 0
fx = 25 + 0 + 2ix + -2ix + -4i2 + -5x + -5x + x2
fx = 25 + 2ix + -2ix + -4i2 + -5x + -5x + x2

Combine like terms: 2ix + -2ix = 0
fx = 25 + 0 + -4i2 + -5x + -5x + x2
fx = 25 + -4i2 + -5x + -5x + x2

Combine like terms: -5x + -5x = -10x
fx = 25 + -4i2 + -10x + x2

Solving
fx = 25 + -4i2 + -10x + x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 25x-1 + -4i2x-1 + -10 + x

Simplifying
f = 25x-1 + -4i2x-1 + -10 + x

Reorder the terms:
f = -10 + -4i2x-1 + 25x-1 + x

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