(x-5)(x-8i)(x+8i)=0

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Solution for (x-5)(x-8i)(x+8i)=0 equation: 


Simplifying
(x + -5)(x + -8i)(x + 8i) = 0

Reorder the terms:
(-5 + x)(x + -8i)(x + 8i) = 0

Reorder the terms:
(-5 + x)(-8i + x)(x + 8i) = 0

Reorder the terms:
(-5 + x)(-8i + x)(8i + x) = 0

Multiply (-5 + x) * (-8i + x)
(-5(-8i + x) + x(-8i + x))(8i + x) = 0
((-8i * -5 + x * -5) + x(-8i + x))(8i + x) = 0
((40i + -5x) + x(-8i + x))(8i + x) = 0
(40i + -5x + (-8i * x + x * x))(8i + x) = 0
(40i + -5x + (-8ix + x2))(8i + x) = 0

Reorder the terms:
(40i + -8ix + -5x + x2)(8i + x) = 0
(40i + -8ix + -5x + x2)(8i + x) = 0

Multiply (40i + -8ix + -5x + x2) * (8i + x)
(40i * (8i + x) + -8ix * (8i + x) + -5x * (8i + x) + x2(8i + x)) = 0
((8i * 40i + x * 40i) + -8ix * (8i + x) + -5x * (8i + x) + x2(8i + x)) = 0

Reorder the terms:
((40ix + 320i2) + -8ix * (8i + x) + -5x * (8i + x) + x2(8i + x)) = 0
((40ix + 320i2) + -8ix * (8i + x) + -5x * (8i + x) + x2(8i + x)) = 0
(40ix + 320i2 + (8i * -8ix + x * -8ix) + -5x * (8i + x) + x2(8i + x)) = 0

Reorder the terms:
(40ix + 320i2 + (-8ix2 + -64i2x) + -5x * (8i + x) + x2(8i + x)) = 0
(40ix + 320i2 + (-8ix2 + -64i2x) + -5x * (8i + x) + x2(8i + x)) = 0
(40ix + 320i2 + -8ix2 + -64i2x + (8i * -5x + x * -5x) + x2(8i + x)) = 0
(40ix + 320i2 + -8ix2 + -64i2x + (-40ix + -5x2) + x2(8i + x)) = 0
(40ix + 320i2 + -8ix2 + -64i2x + -40ix + -5x2 + (8i * x2 + x * x2)) = 0
(40ix + 320i2 + -8ix2 + -64i2x + -40ix + -5x2 + (8ix2 + x3)) = 0

Reorder the terms:
(40ix + -40ix + -8ix2 + 8ix2 + 320i2 + -64i2x + -5x2 + x3) = 0

Combine like terms: 40ix + -40ix = 0
(0 + -8ix2 + 8ix2 + 320i2 + -64i2x + -5x2 + x3) = 0
(-8ix2 + 8ix2 + 320i2 + -64i2x + -5x2 + x3) = 0

Combine like terms: -8ix2 + 8ix2 = 0
(0 + 320i2 + -64i2x + -5x2 + x3) = 0
(320i2 + -64i2x + -5x2 + x3) = 0

Solving
320i2 + -64i2x + -5x2 + x3 = 0

Solving for variable 'i'.

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

Add '5x2' to each side of the equation.
320i2 + -64i2x + -5x2 + 5x2 + x3 = 0 + 5x2

Combine like terms: -5x2 + 5x2 = 0
320i2 + -64i2x + 0 + x3 = 0 + 5x2
320i2 + -64i2x + x3 = 0 + 5x2
Remove the zero:
320i2 + -64i2x + x3 = 5x2

Add '-1x3' to each side of the equation.
320i2 + -64i2x + x3 + -1x3 = 5x2 + -1x3

Combine like terms: x3 + -1x3 = 0
320i2 + -64i2x + 0 = 5x2 + -1x3
320i2 + -64i2x = 5x2 + -1x3

Reorder the terms:
320i2 + -64i2x + -5x2 + x3 = 5x2 + -5x2 + -1x3 + x3

Combine like terms: 5x2 + -5x2 = 0
320i2 + -64i2x + -5x2 + x3 = 0 + -1x3 + x3
320i2 + -64i2x + -5x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
320i2 + -64i2x + -5x2 + x3 = 0

The solution to this equation could not be determined.

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