(x-3)(x-5i)(x-(-5i))=0

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Solution for (x-3)(x-5i)(x-(-5i))=0 equation: 


Simplifying
(x + -3)(x + -5i)(x + -1(-5i)) = 0

Reorder the terms:
(-3 + x)(x + -5i)(x + -1(-5i)) = 0

Reorder the terms:
(-3 + x)(-5i + x)(x + -1(-5i)) = 0

Remove parenthesis around (-5i)
(-3 + x)(-5i + x)(x + -1 * -5i) = 0

Multiply -1 * -5
(-3 + x)(-5i + x)(x + 5i) = 0

Reorder the terms:
(-3 + x)(-5i + x)(5i + x) = 0

Multiply (-3 + x) * (-5i + x)
(-3(-5i + x) + x(-5i + x))(5i + x) = 0
((-5i * -3 + x * -3) + x(-5i + x))(5i + x) = 0
((15i + -3x) + x(-5i + x))(5i + x) = 0
(15i + -3x + (-5i * x + x * x))(5i + x) = 0
(15i + -3x + (-5ix + x2))(5i + x) = 0

Reorder the terms:
(15i + -5ix + -3x + x2)(5i + x) = 0
(15i + -5ix + -3x + x2)(5i + x) = 0

Multiply (15i + -5ix + -3x + x2) * (5i + x)
(15i * (5i + x) + -5ix * (5i + x) + -3x * (5i + x) + x2(5i + x)) = 0
((5i * 15i + x * 15i) + -5ix * (5i + x) + -3x * (5i + x) + x2(5i + x)) = 0

Reorder the terms:
((15ix + 75i2) + -5ix * (5i + x) + -3x * (5i + x) + x2(5i + x)) = 0
((15ix + 75i2) + -5ix * (5i + x) + -3x * (5i + x) + x2(5i + x)) = 0
(15ix + 75i2 + (5i * -5ix + x * -5ix) + -3x * (5i + x) + x2(5i + x)) = 0

Reorder the terms:
(15ix + 75i2 + (-5ix2 + -25i2x) + -3x * (5i + x) + x2(5i + x)) = 0
(15ix + 75i2 + (-5ix2 + -25i2x) + -3x * (5i + x) + x2(5i + x)) = 0
(15ix + 75i2 + -5ix2 + -25i2x + (5i * -3x + x * -3x) + x2(5i + x)) = 0
(15ix + 75i2 + -5ix2 + -25i2x + (-15ix + -3x2) + x2(5i + x)) = 0
(15ix + 75i2 + -5ix2 + -25i2x + -15ix + -3x2 + (5i * x2 + x * x2)) = 0
(15ix + 75i2 + -5ix2 + -25i2x + -15ix + -3x2 + (5ix2 + x3)) = 0

Reorder the terms:
(15ix + -15ix + -5ix2 + 5ix2 + 75i2 + -25i2x + -3x2 + x3) = 0

Combine like terms: 15ix + -15ix = 0
(0 + -5ix2 + 5ix2 + 75i2 + -25i2x + -3x2 + x3) = 0
(-5ix2 + 5ix2 + 75i2 + -25i2x + -3x2 + x3) = 0

Combine like terms: -5ix2 + 5ix2 = 0
(0 + 75i2 + -25i2x + -3x2 + x3) = 0
(75i2 + -25i2x + -3x2 + x3) = 0

Solving
75i2 + -25i2x + -3x2 + x3 = 0

Solving for variable 'i'.

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

Add '3x2' to each side of the equation.
75i2 + -25i2x + -3x2 + 3x2 + x3 = 0 + 3x2

Combine like terms: -3x2 + 3x2 = 0
75i2 + -25i2x + 0 + x3 = 0 + 3x2
75i2 + -25i2x + x3 = 0 + 3x2
Remove the zero:
75i2 + -25i2x + x3 = 3x2

Add '-1x3' to each side of the equation.
75i2 + -25i2x + x3 + -1x3 = 3x2 + -1x3

Combine like terms: x3 + -1x3 = 0
75i2 + -25i2x + 0 = 3x2 + -1x3
75i2 + -25i2x = 3x2 + -1x3

Reorder the terms:
75i2 + -25i2x + -3x2 + x3 = 3x2 + -3x2 + -1x3 + x3

Combine like terms: 3x2 + -3x2 = 0
75i2 + -25i2x + -3x2 + x3 = 0 + -1x3 + x3
75i2 + -25i2x + -3x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
75i2 + -25i2x + -3x2 + x3 = 0

The solution to this equation could not be determined.

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