(x-1)(-3-2i)(-3+2i)=0

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Solution for (x-1)(-3-2i)(-3+2i)=0 equation: 


Simplifying
(x + -1)(-3 + -2i)(-3 + 2i) = 0

Reorder the terms:
(-1 + x)(-3 + -2i)(-3 + 2i) = 0

Multiply (-1 + x) * (-3 + -2i)
(-1(-3 + -2i) + x(-3 + -2i))(-3 + 2i) = 0
((-3 * -1 + -2i * -1) + x(-3 + -2i))(-3 + 2i) = 0
((3 + 2i) + x(-3 + -2i))(-3 + 2i) = 0
(3 + 2i + (-3 * x + -2i * x))(-3 + 2i) = 0

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

Multiply (3 + 2i + -2ix + -3x) * (-3 + 2i)
(3(-3 + 2i) + 2i * (-3 + 2i) + -2ix * (-3 + 2i) + -3x * (-3 + 2i)) = 0
((-3 * 3 + 2i * 3) + 2i * (-3 + 2i) + -2ix * (-3 + 2i) + -3x * (-3 + 2i)) = 0
((-9 + 6i) + 2i * (-3 + 2i) + -2ix * (-3 + 2i) + -3x * (-3 + 2i)) = 0
(-9 + 6i + (-3 * 2i + 2i * 2i) + -2ix * (-3 + 2i) + -3x * (-3 + 2i)) = 0
(-9 + 6i + (-6i + 4i2) + -2ix * (-3 + 2i) + -3x * (-3 + 2i)) = 0
(-9 + 6i + -6i + 4i2 + (-3 * -2ix + 2i * -2ix) + -3x * (-3 + 2i)) = 0
(-9 + 6i + -6i + 4i2 + (6ix + -4i2x) + -3x * (-3 + 2i)) = 0
(-9 + 6i + -6i + 4i2 + 6ix + -4i2x + (-3 * -3x + 2i * -3x)) = 0

Reorder the terms:
(-9 + 6i + -6i + 4i2 + 6ix + -4i2x + (-6ix + 9x)) = 0
(-9 + 6i + -6i + 4i2 + 6ix + -4i2x + (-6ix + 9x)) = 0

Reorder the terms:
(-9 + 6i + -6i + 6ix + -6ix + 4i2 + -4i2x + 9x) = 0

Combine like terms: 6i + -6i = 0
(-9 + 0 + 6ix + -6ix + 4i2 + -4i2x + 9x) = 0
(-9 + 6ix + -6ix + 4i2 + -4i2x + 9x) = 0

Combine like terms: 6ix + -6ix = 0
(-9 + 0 + 4i2 + -4i2x + 9x) = 0
(-9 + 4i2 + -4i2x + 9x) = 0

Solving
-9 + 4i2 + -4i2x + 9x = 0

Solving for variable 'i'.

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

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

Reorder the terms:
-9 + 9 + 4i2 + -4i2x + 9x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4i2 + -4i2x + 9x = 0 + 9
4i2 + -4i2x + 9x = 0 + 9

Combine like terms: 0 + 9 = 9
4i2 + -4i2x + 9x = 9

Add '-9x' to each side of the equation.
4i2 + -4i2x + 9x + -9x = 9 + -9x

Combine like terms: 9x + -9x = 0
4i2 + -4i2x + 0 = 9 + -9x
4i2 + -4i2x = 9 + -9x

Reorder the terms:
-9 + 4i2 + -4i2x + 9x = 9 + -9x + -9 + 9x

Reorder the terms:
-9 + 4i2 + -4i2x + 9x = 9 + -9 + -9x + 9x

Combine like terms: 9 + -9 = 0
-9 + 4i2 + -4i2x + 9x = 0 + -9x + 9x
-9 + 4i2 + -4i2x + 9x = -9x + 9x

Combine like terms: -9x + 9x = 0
-9 + 4i2 + -4i2x + 9x = 0

The solution to this equation could not be determined.

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