F(x)=(x-3)(x-i)(x+i)

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Solution for F(x)=(x-3)(x-i)(x+i) equation: 


Simplifying
F(x) = (x + -3)(x + -1i)(x + i)

Multiply F * x
xF = (x + -3)(x + -1i)(x + i)

Reorder the terms:
xF = (-3 + x)(x + -1i)(x + i)

Reorder the terms:
xF = (-3 + x)(-1i + x)(x + i)

Reorder the terms:
xF = (-3 + x)(-1i + x)(i + x)

Multiply (-3 + x) * (-1i + x)
xF = (-3(-1i + x) + x(-1i + x))(i + x)
xF = ((-1i * -3 + x * -3) + x(-1i + x))(i + x)
xF = ((3i + -3x) + x(-1i + x))(i + x)
xF = (3i + -3x + (-1i * x + x * x))(i + x)
xF = (3i + -3x + (-1ix + x2))(i + x)

Reorder the terms:
xF = (3i + -1ix + -3x + x2)(i + x)
xF = (3i + -1ix + -3x + x2)(i + x)

Multiply (3i + -1ix + -3x + x2) * (i + x)
xF = (3i * (i + x) + -1ix * (i + x) + -3x * (i + x) + x2(i + x))
xF = ((i * 3i + x * 3i) + -1ix * (i + x) + -3x * (i + x) + x2(i + x))

Reorder the terms:
xF = ((3ix + 3i2) + -1ix * (i + x) + -3x * (i + x) + x2(i + x))
xF = ((3ix + 3i2) + -1ix * (i + x) + -3x * (i + x) + x2(i + x))
xF = (3ix + 3i2 + (i * -1ix + x * -1ix) + -3x * (i + x) + x2(i + x))

Reorder the terms:
xF = (3ix + 3i2 + (-1ix2 + -1i2x) + -3x * (i + x) + x2(i + x))
xF = (3ix + 3i2 + (-1ix2 + -1i2x) + -3x * (i + x) + x2(i + x))
xF = (3ix + 3i2 + -1ix2 + -1i2x + (i * -3x + x * -3x) + x2(i + x))
xF = (3ix + 3i2 + -1ix2 + -1i2x + (-3ix + -3x2) + x2(i + x))
xF = (3ix + 3i2 + -1ix2 + -1i2x + -3ix + -3x2 + (i * x2 + x * x2))
xF = (3ix + 3i2 + -1ix2 + -1i2x + -3ix + -3x2 + (ix2 + x3))

Reorder the terms:
xF = (3ix + -3ix + -1ix2 + ix2 + 3i2 + -1i2x + -3x2 + x3)

Combine like terms: 3ix + -3ix = 0
xF = (0 + -1ix2 + ix2 + 3i2 + -1i2x + -3x2 + x3)
xF = (-1ix2 + ix2 + 3i2 + -1i2x + -3x2 + x3)

Combine like terms: -1ix2 + ix2 = 0
xF = (0 + 3i2 + -1i2x + -3x2 + x3)
xF = (3i2 + -1i2x + -3x2 + x3)

Solving
xF = 3i2 + -1i2x + -3x2 + x3

Solving for variable 'x'.

Reorder the terms:
-3i2 + i2x + xF + 3x2 + -1x3 = 3i2 + -1i2x + -3x2 + x3 + -3i2 + i2x + 3x2 + -1x3

Reorder the terms:
-3i2 + i2x + xF + 3x2 + -1x3 = 3i2 + -3i2 + -1i2x + i2x + -3x2 + 3x2 + x3 + -1x3

Combine like terms: 3i2 + -3i2 = 0
-3i2 + i2x + xF + 3x2 + -1x3 = 0 + -1i2x + i2x + -3x2 + 3x2 + x3 + -1x3
-3i2 + i2x + xF + 3x2 + -1x3 = -1i2x + i2x + -3x2 + 3x2 + x3 + -1x3

Combine like terms: -1i2x + i2x = 0
-3i2 + i2x + xF + 3x2 + -1x3 = 0 + -3x2 + 3x2 + x3 + -1x3
-3i2 + i2x + xF + 3x2 + -1x3 = -3x2 + 3x2 + x3 + -1x3

Combine like terms: -3x2 + 3x2 = 0
-3i2 + i2x + xF + 3x2 + -1x3 = 0 + x3 + -1x3
-3i2 + i2x + xF + 3x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-3i2 + i2x + xF + 3x2 + -1x3 = 0

The solution to this equation could not be determined.

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