(x+2)(x-9-2i)(x-9+2i)=

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Solution for (x+2)(x-9-2i)(x-9+2i)= equation:


Simplifying
(x + 2)(x + -9 + -2i)(x + -9 + 2i) = 0

Reorder the terms:
(2 + x)(x + -9 + -2i)(x + -9 + 2i) = 0

Reorder the terms:
(2 + x)(-9 + -2i + x)(x + -9 + 2i) = 0

Reorder the terms:
(2 + x)(-9 + -2i + x)(-9 + 2i + x) = 0

Multiply (2 + x) * (-9 + -2i + x)
(2(-9 + -2i + x) + x(-9 + -2i + x))(-9 + 2i + x) = 0
((-9 * 2 + -2i * 2 + x * 2) + x(-9 + -2i + x))(-9 + 2i + x) = 0
((-18 + -4i + 2x) + x(-9 + -2i + x))(-9 + 2i + x) = 0
(-18 + -4i + 2x + (-9 * x + -2i * x + x * x))(-9 + 2i + x) = 0

Reorder the terms:
(-18 + -4i + 2x + (-2ix + -9x + x2))(-9 + 2i + x) = 0
(-18 + -4i + 2x + (-2ix + -9x + x2))(-9 + 2i + x) = 0

Reorder the terms:
(-18 + -4i + -2ix + 2x + -9x + x2)(-9 + 2i + x) = 0

Combine like terms: 2x + -9x = -7x
(-18 + -4i + -2ix + -7x + x2)(-9 + 2i + x) = 0

Multiply (-18 + -4i + -2ix + -7x + x2) * (-9 + 2i + x)
(-18(-9 + 2i + x) + -4i * (-9 + 2i + x) + -2ix * (-9 + 2i + x) + -7x * (-9 + 2i + x) + x2(-9 + 2i + x)) = 0
((-9 * -18 + 2i * -18 + x * -18) + -4i * (-9 + 2i + x) + -2ix * (-9 + 2i + x) + -7x * (-9 + 2i + x) + x2(-9 + 2i + x)) = 0
((162 + -36i + -18x) + -4i * (-9 + 2i + x) + -2ix * (-9 + 2i + x) + -7x * (-9 + 2i + x) + x2(-9 + 2i + x)) = 0
(162 + -36i + -18x + (-9 * -4i + 2i * -4i + x * -4i) + -2ix * (-9 + 2i + x) + -7x * (-9 + 2i + x) + x2(-9 + 2i + x)) = 0

Reorder the terms:
(162 + -36i + -18x + (36i + -4ix + -8i2) + -2ix * (-9 + 2i + x) + -7x * (-9 + 2i + x) + x2(-9 + 2i + x)) = 0
(162 + -36i + -18x + (36i + -4ix + -8i2) + -2ix * (-9 + 2i + x) + -7x * (-9 + 2i + x) + x2(-9 + 2i + x)) = 0
(162 + -36i + -18x + 36i + -4ix + -8i2 + (-9 * -2ix + 2i * -2ix + x * -2ix) + -7x * (-9 + 2i + x) + x2(-9 + 2i + x)) = 0

Reorder the terms:
(162 + -36i + -18x + 36i + -4ix + -8i2 + (18ix + -2ix2 + -4i2x) + -7x * (-9 + 2i + x) + x2(-9 + 2i + x)) = 0
(162 + -36i + -18x + 36i + -4ix + -8i2 + (18ix + -2ix2 + -4i2x) + -7x * (-9 + 2i + x) + x2(-9 + 2i + x)) = 0
(162 + -36i + -18x + 36i + -4ix + -8i2 + 18ix + -2ix2 + -4i2x + (-9 * -7x + 2i * -7x + x * -7x) + x2(-9 + 2i + x)) = 0

Reorder the terms:
(162 + -36i + -18x + 36i + -4ix + -8i2 + 18ix + -2ix2 + -4i2x + (-14ix + 63x + -7x2) + x2(-9 + 2i + x)) = 0
(162 + -36i + -18x + 36i + -4ix + -8i2 + 18ix + -2ix2 + -4i2x + (-14ix + 63x + -7x2) + x2(-9 + 2i + x)) = 0
(162 + -36i + -18x + 36i + -4ix + -8i2 + 18ix + -2ix2 + -4i2x + -14ix + 63x + -7x2 + (-9 * x2 + 2i * x2 + x * x2)) = 0

Reorder the terms:
(162 + -36i + -18x + 36i + -4ix + -8i2 + 18ix + -2ix2 + -4i2x + -14ix + 63x + -7x2 + (2ix2 + -9x2 + x3)) = 0
(162 + -36i + -18x + 36i + -4ix + -8i2 + 18ix + -2ix2 + -4i2x + -14ix + 63x + -7x2 + (2ix2 + -9x2 + x3)) = 0

Reorder the terms:
(162 + -36i + 36i + -4ix + 18ix + -14ix + -2ix2 + 2ix2 + -8i2 + -4i2x + -18x + 63x + -7x2 + -9x2 + x3) = 0

Combine like terms: -36i + 36i = 0
(162 + 0 + -4ix + 18ix + -14ix + -2ix2 + 2ix2 + -8i2 + -4i2x + -18x + 63x + -7x2 + -9x2 + x3) = 0
(162 + -4ix + 18ix + -14ix + -2ix2 + 2ix2 + -8i2 + -4i2x + -18x + 63x + -7x2 + -9x2 + x3) = 0

Combine like terms: -4ix + 18ix = 14ix
(162 + 14ix + -14ix + -2ix2 + 2ix2 + -8i2 + -4i2x + -18x + 63x + -7x2 + -9x2 + x3) = 0

Combine like terms: 14ix + -14ix = 0
(162 + 0 + -2ix2 + 2ix2 + -8i2 + -4i2x + -18x + 63x + -7x2 + -9x2 + x3) = 0
(162 + -2ix2 + 2ix2 + -8i2 + -4i2x + -18x + 63x + -7x2 + -9x2 + x3) = 0

Combine like terms: -2ix2 + 2ix2 = 0
(162 + 0 + -8i2 + -4i2x + -18x + 63x + -7x2 + -9x2 + x3) = 0
(162 + -8i2 + -4i2x + -18x + 63x + -7x2 + -9x2 + x3) = 0

Combine like terms: -18x + 63x = 45x
(162 + -8i2 + -4i2x + 45x + -7x2 + -9x2 + x3) = 0

Combine like terms: -7x2 + -9x2 = -16x2
(162 + -8i2 + -4i2x + 45x + -16x2 + x3) = 0

Solving
162 + -8i2 + -4i2x + 45x + -16x2 + x3 = 0

Solving for variable 'i'.

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

Add '-162' to each side of the equation.
162 + -8i2 + -4i2x + 45x + -16x2 + -162 + x3 = 0 + -162

Reorder the terms:
162 + -162 + -8i2 + -4i2x + 45x + -16x2 + x3 = 0 + -162

Combine like terms: 162 + -162 = 0
0 + -8i2 + -4i2x + 45x + -16x2 + x3 = 0 + -162
-8i2 + -4i2x + 45x + -16x2 + x3 = 0 + -162

Combine like terms: 0 + -162 = -162
-8i2 + -4i2x + 45x + -16x2 + x3 = -162

Add '-45x' to each side of the equation.
-8i2 + -4i2x + 45x + -16x2 + -45x + x3 = -162 + -45x

Reorder the terms:
-8i2 + -4i2x + 45x + -45x + -16x2 + x3 = -162 + -45x

Combine like terms: 45x + -45x = 0
-8i2 + -4i2x + 0 + -16x2 + x3 = -162 + -45x
-8i2 + -4i2x + -16x2 + x3 = -162 + -45x

Add '16x2' to each side of the equation.
-8i2 + -4i2x + -16x2 + 16x2 + x3 = -162 + -45x + 16x2

Combine like terms: -16x2 + 16x2 = 0
-8i2 + -4i2x + 0 + x3 = -162 + -45x + 16x2
-8i2 + -4i2x + x3 = -162 + -45x + 16x2

Add '-1x3' to each side of the equation.
-8i2 + -4i2x + x3 + -1x3 = -162 + -45x + 16x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-8i2 + -4i2x + 0 = -162 + -45x + 16x2 + -1x3
-8i2 + -4i2x = -162 + -45x + 16x2 + -1x3

Reorder the terms:
162 + -8i2 + -4i2x + 45x + -16x2 + x3 = -162 + -45x + 16x2 + -1x3 + 162 + 45x + -16x2 + x3

Reorder the terms:
162 + -8i2 + -4i2x + 45x + -16x2 + x3 = -162 + 162 + -45x + 45x + 16x2 + -16x2 + -1x3 + x3

Combine like terms: -162 + 162 = 0
162 + -8i2 + -4i2x + 45x + -16x2 + x3 = 0 + -45x + 45x + 16x2 + -16x2 + -1x3 + x3
162 + -8i2 + -4i2x + 45x + -16x2 + x3 = -45x + 45x + 16x2 + -16x2 + -1x3 + x3

Combine like terms: -45x + 45x = 0
162 + -8i2 + -4i2x + 45x + -16x2 + x3 = 0 + 16x2 + -16x2 + -1x3 + x3
162 + -8i2 + -4i2x + 45x + -16x2 + x3 = 16x2 + -16x2 + -1x3 + x3

Combine like terms: 16x2 + -16x2 = 0
162 + -8i2 + -4i2x + 45x + -16x2 + x3 = 0 + -1x3 + x3
162 + -8i2 + -4i2x + 45x + -16x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
162 + -8i2 + -4i2x + 45x + -16x2 + x3 = 0

The solution to this equation could not be determined.

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