f(x)=(x+1)((x-4)-5i)(x+0)

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Solution for f(x)=(x+1)((x-4)-5i)(x+0) equation: 


Simplifying
f(x) = (x + 1)((x + -4) + -5i)(x + 0)

Multiply f * x
fx = (x + 1)((x + -4) + -5i)(x + 0)

Reorder the terms:
fx = (1 + x)((x + -4) + -5i)(x + 0)

Reorder the terms:
fx = (1 + x)((-4 + x) + -5i)(x + 0)

Remove parenthesis around (-4 + x)
fx = (1 + x)(-4 + x + -5i)(x + 0)

Reorder the terms:
fx = (1 + x)(-4 + -5i + x)(x + 0)

Reorder the terms:
fx = (1 + x)(-4 + -5i + x)(0 + x)
Remove the zero:
fx = (1 + x)(-4 + -5i + x)(x)

Reorder the terms for easier multiplication:
fx = x(1 + x)(-4 + -5i + x)

Multiply (1 + x) * (-4 + -5i + x)
fx = x(1(-4 + -5i + x) + x(-4 + -5i + x))
fx = x((-4 * 1 + -5i * 1 + x * 1) + x(-4 + -5i + x))
fx = x((-4 + -5i + 1x) + x(-4 + -5i + x))
fx = x(-4 + -5i + 1x + (-4 * x + -5i * x + x * x))

Reorder the terms:
fx = x(-4 + -5i + 1x + (-5ix + -4x + x2))
fx = x(-4 + -5i + 1x + (-5ix + -4x + x2))

Reorder the terms:
fx = x(-4 + -5i + -5ix + 1x + -4x + x2)

Combine like terms: 1x + -4x = -3x
fx = x(-4 + -5i + -5ix + -3x + x2)
fx = (-4 * x + -5i * x + -5ix * x + -3x * x + x2 * x)

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

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

Solving for variable 'f'.

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

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

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

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

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