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

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


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

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

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

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

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

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

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

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

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

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

Solving
fx = -4 + -5i + -5ix + -3x + 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 = -4x-1 + -5ix-1 + -5i + -3 + x

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

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

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