F(x)=(x-2i)(x+2i)(x-4)

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


Simplifying
F(x) = (x + -2i)(x + 2i)(x + -4)

Multiply F * x
xF = (x + -2i)(x + 2i)(x + -4)

Reorder the terms:
xF = (-2i + x)(x + 2i)(x + -4)

Reorder the terms:
xF = (-2i + x)(2i + x)(x + -4)

Reorder the terms:
xF = (-2i + x)(2i + x)(-4 + x)

Multiply (-2i + x) * (2i + x)
xF = (-2i * (2i + x) + x(2i + x))(-4 + x)
xF = ((2i * -2i + x * -2i) + x(2i + x))(-4 + x)

Reorder the terms:
xF = ((-2ix + -4i2) + x(2i + x))(-4 + x)
xF = ((-2ix + -4i2) + x(2i + x))(-4 + x)
xF = (-2ix + -4i2 + (2i * x + x * x))(-4 + x)
xF = (-2ix + -4i2 + (2ix + x2))(-4 + x)

Reorder the terms:
xF = (-2ix + 2ix + -4i2 + x2)(-4 + x)

Combine like terms: -2ix + 2ix = 0
xF = (0 + -4i2 + x2)(-4 + x)
xF = (-4i2 + x2)(-4 + x)

Multiply (-4i2 + x2) * (-4 + x)
xF = (-4i2 * (-4 + x) + x2(-4 + x))
xF = ((-4 * -4i2 + x * -4i2) + x2(-4 + x))
xF = ((16i2 + -4i2x) + x2(-4 + x))
xF = (16i2 + -4i2x + (-4 * x2 + x * x2))
xF = (16i2 + -4i2x + (-4x2 + x3))
xF = (16i2 + -4i2x + -4x2 + x3)

Solving
xF = 16i2 + -4i2x + -4x2 + x3

Solving for variable 'x'.

Reorder the terms:
-16i2 + 4i2x + xF + 4x2 + -1x3 = 16i2 + -4i2x + -4x2 + x3 + -16i2 + 4i2x + 4x2 + -1x3

Reorder the terms:
-16i2 + 4i2x + xF + 4x2 + -1x3 = 16i2 + -16i2 + -4i2x + 4i2x + -4x2 + 4x2 + x3 + -1x3

Combine like terms: 16i2 + -16i2 = 0
-16i2 + 4i2x + xF + 4x2 + -1x3 = 0 + -4i2x + 4i2x + -4x2 + 4x2 + x3 + -1x3
-16i2 + 4i2x + xF + 4x2 + -1x3 = -4i2x + 4i2x + -4x2 + 4x2 + x3 + -1x3

Combine like terms: -4i2x + 4i2x = 0
-16i2 + 4i2x + xF + 4x2 + -1x3 = 0 + -4x2 + 4x2 + x3 + -1x3
-16i2 + 4i2x + xF + 4x2 + -1x3 = -4x2 + 4x2 + x3 + -1x3

Combine like terms: -4x2 + 4x2 = 0
-16i2 + 4i2x + xF + 4x2 + -1x3 = 0 + x3 + -1x3
-16i2 + 4i2x + xF + 4x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-16i2 + 4i2x + xF + 4x2 + -1x3 = 0

The solution to this equation could not be determined.

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