(x+2)(x-3+5i)(x-3-5i)=0

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Solution for (x+2)(x-3+5i)(x-3-5i)=0 equation: 


Simplifying
(x + 2)(x + -3 + 5i)(x + -3 + -5i) = 0

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

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

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

Multiply (2 + x) * (-3 + 5i + x)
(2(-3 + 5i + x) + x(-3 + 5i + x))(-3 + -5i + x) = 0
((-3 * 2 + 5i * 2 + x * 2) + x(-3 + 5i + x))(-3 + -5i + x) = 0
((-6 + 10i + 2x) + x(-3 + 5i + x))(-3 + -5i + x) = 0
(-6 + 10i + 2x + (-3 * x + 5i * x + x * x))(-3 + -5i + x) = 0

Reorder the terms:
(-6 + 10i + 2x + (5ix + -3x + x2))(-3 + -5i + x) = 0
(-6 + 10i + 2x + (5ix + -3x + x2))(-3 + -5i + x) = 0

Reorder the terms:
(-6 + 10i + 5ix + 2x + -3x + x2)(-3 + -5i + x) = 0

Combine like terms: 2x + -3x = -1x
(-6 + 10i + 5ix + -1x + x2)(-3 + -5i + x) = 0

Multiply (-6 + 10i + 5ix + -1x + x2) * (-3 + -5i + x)
(-6(-3 + -5i + x) + 10i * (-3 + -5i + x) + 5ix * (-3 + -5i + x) + -1x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
((-3 * -6 + -5i * -6 + x * -6) + 10i * (-3 + -5i + x) + 5ix * (-3 + -5i + x) + -1x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
((18 + 30i + -6x) + 10i * (-3 + -5i + x) + 5ix * (-3 + -5i + x) + -1x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
(18 + 30i + -6x + (-3 * 10i + -5i * 10i + x * 10i) + 5ix * (-3 + -5i + x) + -1x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0

Reorder the terms:
(18 + 30i + -6x + (-30i + 10ix + -50i2) + 5ix * (-3 + -5i + x) + -1x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
(18 + 30i + -6x + (-30i + 10ix + -50i2) + 5ix * (-3 + -5i + x) + -1x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
(18 + 30i + -6x + -30i + 10ix + -50i2 + (-3 * 5ix + -5i * 5ix + x * 5ix) + -1x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0

Reorder the terms:
(18 + 30i + -6x + -30i + 10ix + -50i2 + (-15ix + 5ix2 + -25i2x) + -1x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
(18 + 30i + -6x + -30i + 10ix + -50i2 + (-15ix + 5ix2 + -25i2x) + -1x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
(18 + 30i + -6x + -30i + 10ix + -50i2 + -15ix + 5ix2 + -25i2x + (-3 * -1x + -5i * -1x + x * -1x) + x2(-3 + -5i + x)) = 0

Reorder the terms:
(18 + 30i + -6x + -30i + 10ix + -50i2 + -15ix + 5ix2 + -25i2x + (5ix + 3x + -1x2) + x2(-3 + -5i + x)) = 0
(18 + 30i + -6x + -30i + 10ix + -50i2 + -15ix + 5ix2 + -25i2x + (5ix + 3x + -1x2) + x2(-3 + -5i + x)) = 0
(18 + 30i + -6x + -30i + 10ix + -50i2 + -15ix + 5ix2 + -25i2x + 5ix + 3x + -1x2 + (-3 * x2 + -5i * x2 + x * x2)) = 0

Reorder the terms:
(18 + 30i + -6x + -30i + 10ix + -50i2 + -15ix + 5ix2 + -25i2x + 5ix + 3x + -1x2 + (-5ix2 + -3x2 + x3)) = 0
(18 + 30i + -6x + -30i + 10ix + -50i2 + -15ix + 5ix2 + -25i2x + 5ix + 3x + -1x2 + (-5ix2 + -3x2 + x3)) = 0

Reorder the terms:
(18 + 30i + -30i + 10ix + -15ix + 5ix + 5ix2 + -5ix2 + -50i2 + -25i2x + -6x + 3x + -1x2 + -3x2 + x3) = 0

Combine like terms: 30i + -30i = 0
(18 + 0 + 10ix + -15ix + 5ix + 5ix2 + -5ix2 + -50i2 + -25i2x + -6x + 3x + -1x2 + -3x2 + x3) = 0
(18 + 10ix + -15ix + 5ix + 5ix2 + -5ix2 + -50i2 + -25i2x + -6x + 3x + -1x2 + -3x2 + x3) = 0

Combine like terms: 10ix + -15ix = -5ix
(18 + -5ix + 5ix + 5ix2 + -5ix2 + -50i2 + -25i2x + -6x + 3x + -1x2 + -3x2 + x3) = 0

Combine like terms: -5ix + 5ix = 0
(18 + 0 + 5ix2 + -5ix2 + -50i2 + -25i2x + -6x + 3x + -1x2 + -3x2 + x3) = 0
(18 + 5ix2 + -5ix2 + -50i2 + -25i2x + -6x + 3x + -1x2 + -3x2 + x3) = 0

Combine like terms: 5ix2 + -5ix2 = 0
(18 + 0 + -50i2 + -25i2x + -6x + 3x + -1x2 + -3x2 + x3) = 0
(18 + -50i2 + -25i2x + -6x + 3x + -1x2 + -3x2 + x3) = 0

Combine like terms: -6x + 3x = -3x
(18 + -50i2 + -25i2x + -3x + -1x2 + -3x2 + x3) = 0

Combine like terms: -1x2 + -3x2 = -4x2
(18 + -50i2 + -25i2x + -3x + -4x2 + x3) = 0

Solving
18 + -50i2 + -25i2x + -3x + -4x2 + x3 = 0

Solving for variable 'i'.

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

Add '-18' to each side of the equation.
18 + -50i2 + -25i2x + -3x + -4x2 + -18 + x3 = 0 + -18

Reorder the terms:
18 + -18 + -50i2 + -25i2x + -3x + -4x2 + x3 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -50i2 + -25i2x + -3x + -4x2 + x3 = 0 + -18
-50i2 + -25i2x + -3x + -4x2 + x3 = 0 + -18

Combine like terms: 0 + -18 = -18
-50i2 + -25i2x + -3x + -4x2 + x3 = -18

Add '3x' to each side of the equation.
-50i2 + -25i2x + -3x + -4x2 + 3x + x3 = -18 + 3x

Reorder the terms:
-50i2 + -25i2x + -3x + 3x + -4x2 + x3 = -18 + 3x

Combine like terms: -3x + 3x = 0
-50i2 + -25i2x + 0 + -4x2 + x3 = -18 + 3x
-50i2 + -25i2x + -4x2 + x3 = -18 + 3x

Add '4x2' to each side of the equation.
-50i2 + -25i2x + -4x2 + 4x2 + x3 = -18 + 3x + 4x2

Combine like terms: -4x2 + 4x2 = 0
-50i2 + -25i2x + 0 + x3 = -18 + 3x + 4x2
-50i2 + -25i2x + x3 = -18 + 3x + 4x2

Add '-1x3' to each side of the equation.
-50i2 + -25i2x + x3 + -1x3 = -18 + 3x + 4x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-50i2 + -25i2x + 0 = -18 + 3x + 4x2 + -1x3
-50i2 + -25i2x = -18 + 3x + 4x2 + -1x3

Reorder the terms:
18 + -50i2 + -25i2x + -3x + -4x2 + x3 = -18 + 3x + 4x2 + -1x3 + 18 + -3x + -4x2 + x3

Reorder the terms:
18 + -50i2 + -25i2x + -3x + -4x2 + x3 = -18 + 18 + 3x + -3x + 4x2 + -4x2 + -1x3 + x3

Combine like terms: -18 + 18 = 0
18 + -50i2 + -25i2x + -3x + -4x2 + x3 = 0 + 3x + -3x + 4x2 + -4x2 + -1x3 + x3
18 + -50i2 + -25i2x + -3x + -4x2 + x3 = 3x + -3x + 4x2 + -4x2 + -1x3 + x3

Combine like terms: 3x + -3x = 0
18 + -50i2 + -25i2x + -3x + -4x2 + x3 = 0 + 4x2 + -4x2 + -1x3 + x3
18 + -50i2 + -25i2x + -3x + -4x2 + x3 = 4x2 + -4x2 + -1x3 + x3

Combine like terms: 4x2 + -4x2 = 0
18 + -50i2 + -25i2x + -3x + -4x2 + x3 = 0 + -1x3 + x3
18 + -50i2 + -25i2x + -3x + -4x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
18 + -50i2 + -25i2x + -3x + -4x2 + x3 = 0

The solution to this equation could not be determined.

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