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

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


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

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

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

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

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

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

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

Reorder the terms:
((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)) = 0

Reorder the terms:
(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)) = 0

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

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

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

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

Solving for variable 'i'.

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

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

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

Add '-1x3' to each side of the equation.
36i2 + -9i2x + x3 + -1x3 = 4x2 + -1x3

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

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

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

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

The solution to this equation could not be determined.

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