F(X)=(X+2)(X+3)(X-4)(X-2i)

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Solution for F(X)=(X+2)(X+3)(X-4)(X-2i) equation: 


Simplifying
F(X) = (X + 2)(X + 3)(X + -4)(X + -2i)

Multiply F * X
FX = (X + 2)(X + 3)(X + -4)(X + -2i)

Reorder the terms:
FX = (2 + X)(X + 3)(X + -4)(X + -2i)

Reorder the terms:
FX = (2 + X)(3 + X)(X + -4)(X + -2i)

Reorder the terms:
FX = (2 + X)(3 + X)(-4 + X)(X + -2i)

Multiply (2 + X) * (3 + X)
FX = (2(3 + X) + X(3 + X))(-4 + X)(X + -2i)
FX = ((3 * 2 + X * 2) + X(3 + X))(-4 + X)(X + -2i)
FX = ((6 + 2X) + X(3 + X))(-4 + X)(X + -2i)
FX = (6 + 2X + (3 * X + X * X))(-4 + X)(X + -2i)
FX = (6 + 2X + (3X + X2))(-4 + X)(X + -2i)

Combine like terms: 2X + 3X = 5X
FX = (6 + 5X + X2)(-4 + X)(X + -2i)

Multiply (6 + 5X + X2) * (-4 + X)
FX = (6(-4 + X) + 5X * (-4 + X) + X2(-4 + X))(X + -2i)
FX = ((-4 * 6 + X * 6) + 5X * (-4 + X) + X2(-4 + X))(X + -2i)
FX = ((-24 + 6X) + 5X * (-4 + X) + X2(-4 + X))(X + -2i)
FX = (-24 + 6X + (-4 * 5X + X * 5X) + X2(-4 + X))(X + -2i)
FX = (-24 + 6X + (-20X + 5X2) + X2(-4 + X))(X + -2i)
FX = (-24 + 6X + -20X + 5X2 + (-4 * X2 + X * X2))(X + -2i)
FX = (-24 + 6X + -20X + 5X2 + (-4X2 + X3))(X + -2i)

Combine like terms: 6X + -20X = -14X
FX = (-24 + -14X + 5X2 + -4X2 + X3)(X + -2i)

Combine like terms: 5X2 + -4X2 = 1X2
FX = (-24 + -14X + 1X2 + X3)(X + -2i)

Multiply (-24 + -14X + 1X2 + X3) * (X + -2i)
FX = (-24(X + -2i) + -14X * (X + -2i) + 1X2 * (X + -2i) + X3(X + -2i))
FX = ((X * -24 + -2i * -24) + -14X * (X + -2i) + 1X2 * (X + -2i) + X3(X + -2i))
FX = ((-24X + 48i) + -14X * (X + -2i) + 1X2 * (X + -2i) + X3(X + -2i))
FX = (-24X + 48i + (X * -14X + -2i * -14X) + 1X2 * (X + -2i) + X3(X + -2i))
FX = (-24X + 48i + (-14X2 + 28iX) + 1X2 * (X + -2i) + X3(X + -2i))
FX = (-24X + 48i + -14X2 + 28iX + (X * 1X2 + -2i * 1X2) + X3(X + -2i))
FX = (-24X + 48i + -14X2 + 28iX + (1X3 + -2iX2) + X3(X + -2i))
FX = (-24X + 48i + -14X2 + 28iX + 1X3 + -2iX2 + (X * X3 + -2i * X3))
FX = (-24X + 48i + -14X2 + 28iX + 1X3 + -2iX2 + (X4 + -2iX3))

Reorder the terms:
FX = (-24X + -14X2 + 1X3 + X4 + 48i + 28iX + -2iX2 + -2iX3)
FX = (-24X + -14X2 + 1X3 + X4 + 48i + 28iX + -2iX2 + -2iX3)

Solving
FX = -24X + -14X2 + 1X3 + X4 + 48i + 28iX + -2iX2 + -2iX3

Solving for variable 'F'.

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

Divide each side by 'X'.
F = -24 + -14X + X2 + X3 + 48iX-1 + 28i + -2iX + -2iX2

Simplifying
F = -24 + -14X + X2 + X3 + 48iX-1 + 28i + -2iX + -2iX2

Reorder the terms:
F = -24 + -14X + X2 + X3 + 28i + 48iX-1 + -2iX + -2iX2

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