(x-3)(x-3)(x-(4-4i))(x-(4+4i))=

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Solution for (x-3)(x-3)(x-(4-4i))(x-(4+4i))= equation:


Simplifying
(x + -3)(x + -3)(x + -1(4 + -4i))(x + -1(4 + 4i)) = 0

Reorder the terms:
(-3 + x)(x + -3)(x + -1(4 + -4i))(x + -1(4 + 4i)) = 0

Reorder the terms:
(-3 + x)(-3 + x)(x + -1(4 + -4i))(x + -1(4 + 4i)) = 0
(-3 + x)(-3 + x)(x + (4 * -1 + -4i * -1))(x + -1(4 + 4i)) = 0
(-3 + x)(-3 + x)(x + (-4 + 4i))(x + -1(4 + 4i)) = 0

Reorder the terms:
(-3 + x)(-3 + x)(-4 + 4i + x)(x + -1(4 + 4i)) = 0
(-3 + x)(-3 + x)(-4 + 4i + x)(x + (4 * -1 + 4i * -1)) = 0
(-3 + x)(-3 + x)(-4 + 4i + x)(x + (-4 + -4i)) = 0

Reorder the terms:
(-3 + x)(-3 + x)(-4 + 4i + x)(-4 + -4i + x) = 0

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x))(-4 + 4i + x)(-4 + -4i + x) = 0
((-3 * -3 + x * -3) + x(-3 + x))(-4 + 4i + x)(-4 + -4i + x) = 0
((9 + -3x) + x(-3 + x))(-4 + 4i + x)(-4 + -4i + x) = 0
(9 + -3x + (-3 * x + x * x))(-4 + 4i + x)(-4 + -4i + x) = 0
(9 + -3x + (-3x + x2))(-4 + 4i + x)(-4 + -4i + x) = 0

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2)(-4 + 4i + x)(-4 + -4i + x) = 0

Multiply (9 + -6x + x2) * (-4 + 4i + x)
(9(-4 + 4i + x) + -6x * (-4 + 4i + x) + x2(-4 + 4i + x))(-4 + -4i + x) = 0
((-4 * 9 + 4i * 9 + x * 9) + -6x * (-4 + 4i + x) + x2(-4 + 4i + x))(-4 + -4i + x) = 0
((-36 + 36i + 9x) + -6x * (-4 + 4i + x) + x2(-4 + 4i + x))(-4 + -4i + x) = 0
(-36 + 36i + 9x + (-4 * -6x + 4i * -6x + x * -6x) + x2(-4 + 4i + x))(-4 + -4i + x) = 0

Reorder the terms:
(-36 + 36i + 9x + (-24ix + 24x + -6x2) + x2(-4 + 4i + x))(-4 + -4i + x) = 0
(-36 + 36i + 9x + (-24ix + 24x + -6x2) + x2(-4 + 4i + x))(-4 + -4i + x) = 0
(-36 + 36i + 9x + -24ix + 24x + -6x2 + (-4 * x2 + 4i * x2 + x * x2))(-4 + -4i + x) = 0

Reorder the terms:
(-36 + 36i + 9x + -24ix + 24x + -6x2 + (4ix2 + -4x2 + x3))(-4 + -4i + x) = 0
(-36 + 36i + 9x + -24ix + 24x + -6x2 + (4ix2 + -4x2 + x3))(-4 + -4i + x) = 0

Reorder the terms:
(-36 + 36i + -24ix + 4ix2 + 9x + 24x + -6x2 + -4x2 + x3)(-4 + -4i + x) = 0

Combine like terms: 9x + 24x = 33x
(-36 + 36i + -24ix + 4ix2 + 33x + -6x2 + -4x2 + x3)(-4 + -4i + x) = 0

Combine like terms: -6x2 + -4x2 = -10x2
(-36 + 36i + -24ix + 4ix2 + 33x + -10x2 + x3)(-4 + -4i + x) = 0

Multiply (-36 + 36i + -24ix + 4ix2 + 33x + -10x2 + x3) * (-4 + -4i + x)
(-36(-4 + -4i + x) + 36i * (-4 + -4i + x) + -24ix * (-4 + -4i + x) + 4ix2 * (-4 + -4i + x) + 33x * (-4 + -4i + x) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0
((-4 * -36 + -4i * -36 + x * -36) + 36i * (-4 + -4i + x) + -24ix * (-4 + -4i + x) + 4ix2 * (-4 + -4i + x) + 33x * (-4 + -4i + x) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0
((144 + 144i + -36x) + 36i * (-4 + -4i + x) + -24ix * (-4 + -4i + x) + 4ix2 * (-4 + -4i + x) + 33x * (-4 + -4i + x) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0
(144 + 144i + -36x + (-4 * 36i + -4i * 36i + x * 36i) + -24ix * (-4 + -4i + x) + 4ix2 * (-4 + -4i + x) + 33x * (-4 + -4i + x) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0

Reorder the terms:
(144 + 144i + -36x + (-144i + 36ix + -144i2) + -24ix * (-4 + -4i + x) + 4ix2 * (-4 + -4i + x) + 33x * (-4 + -4i + x) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0
(144 + 144i + -36x + (-144i + 36ix + -144i2) + -24ix * (-4 + -4i + x) + 4ix2 * (-4 + -4i + x) + 33x * (-4 + -4i + x) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0
(144 + 144i + -36x + -144i + 36ix + -144i2 + (-4 * -24ix + -4i * -24ix + x * -24ix) + 4ix2 * (-4 + -4i + x) + 33x * (-4 + -4i + x) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0

Reorder the terms:
(144 + 144i + -36x + -144i + 36ix + -144i2 + (96ix + -24ix2 + 96i2x) + 4ix2 * (-4 + -4i + x) + 33x * (-4 + -4i + x) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0
(144 + 144i + -36x + -144i + 36ix + -144i2 + (96ix + -24ix2 + 96i2x) + 4ix2 * (-4 + -4i + x) + 33x * (-4 + -4i + x) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0
(144 + 144i + -36x + -144i + 36ix + -144i2 + 96ix + -24ix2 + 96i2x + (-4 * 4ix2 + -4i * 4ix2 + x * 4ix2) + 33x * (-4 + -4i + x) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0

Reorder the terms:
(144 + 144i + -36x + -144i + 36ix + -144i2 + 96ix + -24ix2 + 96i2x + (-16ix2 + 4ix3 + -16i2x2) + 33x * (-4 + -4i + x) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0
(144 + 144i + -36x + -144i + 36ix + -144i2 + 96ix + -24ix2 + 96i2x + (-16ix2 + 4ix3 + -16i2x2) + 33x * (-4 + -4i + x) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0
(144 + 144i + -36x + -144i + 36ix + -144i2 + 96ix + -24ix2 + 96i2x + -16ix2 + 4ix3 + -16i2x2 + (-4 * 33x + -4i * 33x + x * 33x) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0

Reorder the terms:
(144 + 144i + -36x + -144i + 36ix + -144i2 + 96ix + -24ix2 + 96i2x + -16ix2 + 4ix3 + -16i2x2 + (-132ix + -132x + 33x2) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0
(144 + 144i + -36x + -144i + 36ix + -144i2 + 96ix + -24ix2 + 96i2x + -16ix2 + 4ix3 + -16i2x2 + (-132ix + -132x + 33x2) + -10x2 * (-4 + -4i + x) + x3(-4 + -4i + x)) = 0
(144 + 144i + -36x + -144i + 36ix + -144i2 + 96ix + -24ix2 + 96i2x + -16ix2 + 4ix3 + -16i2x2 + -132ix + -132x + 33x2 + (-4 * -10x2 + -4i * -10x2 + x * -10x2) + x3(-4 + -4i + x)) = 0

Reorder the terms:
(144 + 144i + -36x + -144i + 36ix + -144i2 + 96ix + -24ix2 + 96i2x + -16ix2 + 4ix3 + -16i2x2 + -132ix + -132x + 33x2 + (40ix2 + 40x2 + -10x3) + x3(-4 + -4i + x)) = 0
(144 + 144i + -36x + -144i + 36ix + -144i2 + 96ix + -24ix2 + 96i2x + -16ix2 + 4ix3 + -16i2x2 + -132ix + -132x + 33x2 + (40ix2 + 40x2 + -10x3) + x3(-4 + -4i + x)) = 0
(144 + 144i + -36x + -144i + 36ix + -144i2 + 96ix + -24ix2 + 96i2x + -16ix2 + 4ix3 + -16i2x2 + -132ix + -132x + 33x2 + 40ix2 + 40x2 + -10x3 + (-4 * x3 + -4i * x3 + x * x3)) = 0

Reorder the terms:
(144 + 144i + -36x + -144i + 36ix + -144i2 + 96ix + -24ix2 + 96i2x + -16ix2 + 4ix3 + -16i2x2 + -132ix + -132x + 33x2 + 40ix2 + 40x2 + -10x3 + (-4ix3 + -4x3 + x4)) = 0
(144 + 144i + -36x + -144i + 36ix + -144i2 + 96ix + -24ix2 + 96i2x + -16ix2 + 4ix3 + -16i2x2 + -132ix + -132x + 33x2 + 40ix2 + 40x2 + -10x3 + (-4ix3 + -4x3 + x4)) = 0

Reorder the terms:
(144 + 144i + -144i + 36ix + 96ix + -132ix + -24ix2 + -16ix2 + 40ix2 + 4ix3 + -4ix3 + -144i2 + 96i2x + -16i2x2 + -36x + -132x + 33x2 + 40x2 + -10x3 + -4x3 + x4) = 0

Combine like terms: 144i + -144i = 0
(144 + 0 + 36ix + 96ix + -132ix + -24ix2 + -16ix2 + 40ix2 + 4ix3 + -4ix3 + -144i2 + 96i2x + -16i2x2 + -36x + -132x + 33x2 + 40x2 + -10x3 + -4x3 + x4) = 0
(144 + 36ix + 96ix + -132ix + -24ix2 + -16ix2 + 40ix2 + 4ix3 + -4ix3 + -144i2 + 96i2x + -16i2x2 + -36x + -132x + 33x2 + 40x2 + -10x3 + -4x3 + x4) = 0

Combine like terms: 36ix + 96ix = 132ix
(144 + 132ix + -132ix + -24ix2 + -16ix2 + 40ix2 + 4ix3 + -4ix3 + -144i2 + 96i2x + -16i2x2 + -36x + -132x + 33x2 + 40x2 + -10x3 + -4x3 + x4) = 0

Combine like terms: 132ix + -132ix = 0
(144 + 0 + -24ix2 + -16ix2 + 40ix2 + 4ix3 + -4ix3 + -144i2 + 96i2x + -16i2x2 + -36x + -132x + 33x2 + 40x2 + -10x3 + -4x3 + x4) = 0
(144 + -24ix2 + -16ix2 + 40ix2 + 4ix3 + -4ix3 + -144i2 + 96i2x + -16i2x2 + -36x + -132x + 33x2 + 40x2 + -10x3 + -4x3 + x4) = 0

Combine like terms: -24ix2 + -16ix2 = -40ix2
(144 + -40ix2 + 40ix2 + 4ix3 + -4ix3 + -144i2 + 96i2x + -16i2x2 + -36x + -132x + 33x2 + 40x2 + -10x3 + -4x3 + x4) = 0

Combine like terms: -40ix2 + 40ix2 = 0
(144 + 0 + 4ix3 + -4ix3 + -144i2 + 96i2x + -16i2x2 + -36x + -132x + 33x2 + 40x2 + -10x3 + -4x3 + x4) = 0
(144 + 4ix3 + -4ix3 + -144i2 + 96i2x + -16i2x2 + -36x + -132x + 33x2 + 40x2 + -10x3 + -4x3 + x4) = 0

Combine like terms: 4ix3 + -4ix3 = 0
(144 + 0 + -144i2 + 96i2x + -16i2x2 + -36x + -132x + 33x2 + 40x2 + -10x3 + -4x3 + x4) = 0
(144 + -144i2 + 96i2x + -16i2x2 + -36x + -132x + 33x2 + 40x2 + -10x3 + -4x3 + x4) = 0

Combine like terms: -36x + -132x = -168x
(144 + -144i2 + 96i2x + -16i2x2 + -168x + 33x2 + 40x2 + -10x3 + -4x3 + x4) = 0

Combine like terms: 33x2 + 40x2 = 73x2
(144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -10x3 + -4x3 + x4) = 0

Combine like terms: -10x3 + -4x3 = -14x3
(144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4) = 0

Solving
144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = 0

Solving for variable 'i'.

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

Add '-144' to each side of the equation.
144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + -144 + x4 = 0 + -144

Reorder the terms:
144 + -144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = 0 + -144
-144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = 0 + -144

Combine like terms: 0 + -144 = -144
-144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = -144

Add '168x' to each side of the equation.
-144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + 168x + x4 = -144 + 168x

Reorder the terms:
-144i2 + 96i2x + -16i2x2 + -168x + 168x + 73x2 + -14x3 + x4 = -144 + 168x

Combine like terms: -168x + 168x = 0
-144i2 + 96i2x + -16i2x2 + 0 + 73x2 + -14x3 + x4 = -144 + 168x
-144i2 + 96i2x + -16i2x2 + 73x2 + -14x3 + x4 = -144 + 168x

Add '-73x2' to each side of the equation.
-144i2 + 96i2x + -16i2x2 + 73x2 + -14x3 + -73x2 + x4 = -144 + 168x + -73x2

Reorder the terms:
-144i2 + 96i2x + -16i2x2 + 73x2 + -73x2 + -14x3 + x4 = -144 + 168x + -73x2

Combine like terms: 73x2 + -73x2 = 0
-144i2 + 96i2x + -16i2x2 + 0 + -14x3 + x4 = -144 + 168x + -73x2
-144i2 + 96i2x + -16i2x2 + -14x3 + x4 = -144 + 168x + -73x2

Add '14x3' to each side of the equation.
-144i2 + 96i2x + -16i2x2 + -14x3 + 14x3 + x4 = -144 + 168x + -73x2 + 14x3

Combine like terms: -14x3 + 14x3 = 0
-144i2 + 96i2x + -16i2x2 + 0 + x4 = -144 + 168x + -73x2 + 14x3
-144i2 + 96i2x + -16i2x2 + x4 = -144 + 168x + -73x2 + 14x3

Add '-1x4' to each side of the equation.
-144i2 + 96i2x + -16i2x2 + x4 + -1x4 = -144 + 168x + -73x2 + 14x3 + -1x4

Combine like terms: x4 + -1x4 = 0
-144i2 + 96i2x + -16i2x2 + 0 = -144 + 168x + -73x2 + 14x3 + -1x4
-144i2 + 96i2x + -16i2x2 = -144 + 168x + -73x2 + 14x3 + -1x4

Reorder the terms:
144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = -144 + 168x + -73x2 + 14x3 + -1x4 + 144 + -168x + 73x2 + -14x3 + x4

Reorder the terms:
144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = -144 + 144 + 168x + -168x + -73x2 + 73x2 + 14x3 + -14x3 + -1x4 + x4

Combine like terms: -144 + 144 = 0
144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = 0 + 168x + -168x + -73x2 + 73x2 + 14x3 + -14x3 + -1x4 + x4
144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = 168x + -168x + -73x2 + 73x2 + 14x3 + -14x3 + -1x4 + x4

Combine like terms: 168x + -168x = 0
144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = 0 + -73x2 + 73x2 + 14x3 + -14x3 + -1x4 + x4
144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = -73x2 + 73x2 + 14x3 + -14x3 + -1x4 + x4

Combine like terms: -73x2 + 73x2 = 0
144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = 0 + 14x3 + -14x3 + -1x4 + x4
144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = 14x3 + -14x3 + -1x4 + x4

Combine like terms: 14x3 + -14x3 = 0
144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = 0 + -1x4 + x4
144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
144 + -144i2 + 96i2x + -16i2x2 + -168x + 73x2 + -14x3 + x4 = 0

The solution to this equation could not be determined.

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