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

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


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

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

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

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

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

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

Reorder the terms:
((3ix + -9i2) + x(-3i + x))(-4 + x)(4 + x) = 0
((3ix + -9i2) + x(-3i + x))(-4 + x)(4 + x) = 0
(3ix + -9i2 + (-3i * x + x * x))(-4 + x)(4 + x) = 0
(3ix + -9i2 + (-3ix + x2))(-4 + x)(4 + x) = 0

Reorder the terms:
(3ix + -3ix + -9i2 + x2)(-4 + x)(4 + x) = 0

Combine like terms: 3ix + -3ix = 0
(0 + -9i2 + x2)(-4 + x)(4 + x) = 0
(-9i2 + x2)(-4 + x)(4 + x) = 0

Multiply (-9i2 + x2) * (-4 + x)
(-9i2 * (-4 + x) + x2(-4 + x))(4 + x) = 0
((-4 * -9i2 + x * -9i2) + x2(-4 + x))(4 + x) = 0
((36i2 + -9i2x) + x2(-4 + x))(4 + x) = 0
(36i2 + -9i2x + (-4 * x2 + x * x2))(4 + x) = 0
(36i2 + -9i2x + (-4x2 + x3))(4 + x) = 0
(36i2 + -9i2x + -4x2 + x3)(4 + x) = 0

Multiply (36i2 + -9i2x + -4x2 + x3) * (4 + x)
(36i2 * (4 + x) + -9i2x * (4 + x) + -4x2 * (4 + x) + x3(4 + x)) = 0
((4 * 36i2 + x * 36i2) + -9i2x * (4 + x) + -4x2 * (4 + x) + x3(4 + x)) = 0
((144i2 + 36i2x) + -9i2x * (4 + x) + -4x2 * (4 + x) + x3(4 + x)) = 0
(144i2 + 36i2x + (4 * -9i2x + x * -9i2x) + -4x2 * (4 + x) + x3(4 + x)) = 0
(144i2 + 36i2x + (-36i2x + -9i2x2) + -4x2 * (4 + x) + x3(4 + x)) = 0
(144i2 + 36i2x + -36i2x + -9i2x2 + (4 * -4x2 + x * -4x2) + x3(4 + x)) = 0
(144i2 + 36i2x + -36i2x + -9i2x2 + (-16x2 + -4x3) + x3(4 + x)) = 0
(144i2 + 36i2x + -36i2x + -9i2x2 + -16x2 + -4x3 + (4 * x3 + x * x3)) = 0
(144i2 + 36i2x + -36i2x + -9i2x2 + -16x2 + -4x3 + (4x3 + x4)) = 0

Combine like terms: 36i2x + -36i2x = 0
(144i2 + 0 + -9i2x2 + -16x2 + -4x3 + 4x3 + x4) = 0
(144i2 + -9i2x2 + -16x2 + -4x3 + 4x3 + x4) = 0

Combine like terms: -4x3 + 4x3 = 0
(144i2 + -9i2x2 + -16x2 + 0 + x4) = 0
(144i2 + -9i2x2 + -16x2 + x4) = 0

Solving
144i2 + -9i2x2 + -16x2 + x4 = 0

Solving for variable 'i'.

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

Add '16x2' to each side of the equation.
144i2 + -9i2x2 + -16x2 + 16x2 + x4 = 0 + 16x2

Combine like terms: -16x2 + 16x2 = 0
144i2 + -9i2x2 + 0 + x4 = 0 + 16x2
144i2 + -9i2x2 + x4 = 0 + 16x2
Remove the zero:
144i2 + -9i2x2 + x4 = 16x2

Add '-1x4' to each side of the equation.
144i2 + -9i2x2 + x4 + -1x4 = 16x2 + -1x4

Combine like terms: x4 + -1x4 = 0
144i2 + -9i2x2 + 0 = 16x2 + -1x4
144i2 + -9i2x2 = 16x2 + -1x4

Reorder the terms:
144i2 + -9i2x2 + -16x2 + x4 = 16x2 + -16x2 + -1x4 + x4

Combine like terms: 16x2 + -16x2 = 0
144i2 + -9i2x2 + -16x2 + x4 = 0 + -1x4 + x4
144i2 + -9i2x2 + -16x2 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
144i2 + -9i2x2 + -16x2 + x4 = 0

The solution to this equation could not be determined.

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