0=(x-4)(x+3i)(x-3i)

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Solution for 0=(x-4)(x+3i)(x-3i) equation: 


Simplifying
0 = (x + -4)(x + 3i)(x + -3i)

Reorder the terms:
0 = (-4 + x)(x + 3i)(x + -3i)

Reorder the terms:
0 = (-4 + x)(3i + x)(x + -3i)

Reorder the terms:
0 = (-4 + x)(3i + x)(-3i + x)

Multiply (-4 + x) * (3i + x)
0 = (-4(3i + x) + x(3i + x))(-3i + x)
0 = ((3i * -4 + x * -4) + x(3i + x))(-3i + x)
0 = ((-12i + -4x) + x(3i + x))(-3i + x)
0 = (-12i + -4x + (3i * x + x * x))(-3i + x)
0 = (-12i + -4x + (3ix + x2))(-3i + x)

Reorder the terms:
0 = (-12i + 3ix + -4x + x2)(-3i + x)
0 = (-12i + 3ix + -4x + x2)(-3i + x)

Multiply (-12i + 3ix + -4x + x2) * (-3i + x)
0 = (-12i * (-3i + x) + 3ix * (-3i + x) + -4x * (-3i + x) + x2(-3i + x))
0 = ((-3i * -12i + x * -12i) + 3ix * (-3i + x) + -4x * (-3i + x) + x2(-3i + x))

Reorder the terms:
0 = ((-12ix + 36i2) + 3ix * (-3i + x) + -4x * (-3i + x) + x2(-3i + x))
0 = ((-12ix + 36i2) + 3ix * (-3i + x) + -4x * (-3i + x) + x2(-3i + x))
0 = (-12ix + 36i2 + (-3i * 3ix + x * 3ix) + -4x * (-3i + x) + x2(-3i + x))

Reorder the terms:
0 = (-12ix + 36i2 + (3ix2 + -9i2x) + -4x * (-3i + x) + x2(-3i + x))
0 = (-12ix + 36i2 + (3ix2 + -9i2x) + -4x * (-3i + x) + x2(-3i + x))
0 = (-12ix + 36i2 + 3ix2 + -9i2x + (-3i * -4x + x * -4x) + x2(-3i + x))
0 = (-12ix + 36i2 + 3ix2 + -9i2x + (12ix + -4x2) + x2(-3i + x))
0 = (-12ix + 36i2 + 3ix2 + -9i2x + 12ix + -4x2 + (-3i * x2 + x * x2))
0 = (-12ix + 36i2 + 3ix2 + -9i2x + 12ix + -4x2 + (-3ix2 + x3))

Reorder the terms:
0 = (-12ix + 12ix + 3ix2 + -3ix2 + 36i2 + -9i2x + -4x2 + x3)

Combine like terms: -12ix + 12ix = 0
0 = (0 + 3ix2 + -3ix2 + 36i2 + -9i2x + -4x2 + x3)
0 = (3ix2 + -3ix2 + 36i2 + -9i2x + -4x2 + x3)

Combine like terms: 3ix2 + -3ix2 = 0
0 = (0 + 36i2 + -9i2x + -4x2 + x3)
0 = (36i2 + -9i2x + -4x2 + x3)

Solving
0 = 36i2 + -9i2x + -4x2 + x3

Solving for variable 'i'.

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

Add '-36i2' to each side of the equation.
0 + -36i2 = 36i2 + -9i2x + -4x2 + -36i2 + x3
Remove the zero:
-36i2 = 36i2 + -9i2x + -4x2 + -36i2 + x3

Reorder the terms:
-36i2 = 36i2 + -36i2 + -9i2x + -4x2 + x3

Combine like terms: 36i2 + -36i2 = 0
-36i2 = 0 + -9i2x + -4x2 + x3
-36i2 = -9i2x + -4x2 + x3

Add '9i2x' to each side of the equation.
-36i2 + 9i2x = -9i2x + -4x2 + 9i2x + x3

Reorder the terms:
-36i2 + 9i2x = -9i2x + 9i2x + -4x2 + x3

Combine like terms: -9i2x + 9i2x = 0
-36i2 + 9i2x = 0 + -4x2 + x3
-36i2 + 9i2x = -4x2 + x3

Reorder the terms:
-36i2 + 9i2x + 4x2 + -1x3 = -4x2 + 4x2 + x3 + -1x3

Combine like terms: -4x2 + 4x2 = 0
-36i2 + 9i2x + 4x2 + -1x3 = 0 + x3 + -1x3
-36i2 + 9i2x + 4x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-36i2 + 9i2x + 4x2 + -1x3 = 0

The solution to this equation could not be determined.

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