(x+1)(x+1)(x-6)(x+3i)(x-3i)=

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Solution for (x+1)(x+1)(x-6)(x+3i)(x-3i)= equation: 


Simplifying
(x + 1)(x + 1)(x + -6)(x + 3i)(x + -3i) = 0

Reorder the terms:
(1 + x)(x + 1)(x + -6)(x + 3i)(x + -3i) = 0

Reorder the terms:
(1 + x)(1 + x)(x + -6)(x + 3i)(x + -3i) = 0

Reorder the terms:
(1 + x)(1 + x)(-6 + x)(x + 3i)(x + -3i) = 0

Reorder the terms:
(1 + x)(1 + x)(-6 + x)(3i + x)(x + -3i) = 0

Reorder the terms:
(1 + x)(1 + x)(-6 + x)(3i + x)(-3i + x) = 0

Multiply (1 + x) * (1 + x)
(1(1 + x) + x(1 + x))(-6 + x)(3i + x)(-3i + x) = 0
((1 * 1 + x * 1) + x(1 + x))(-6 + x)(3i + x)(-3i + x) = 0
((1 + 1x) + x(1 + x))(-6 + x)(3i + x)(-3i + x) = 0
(1 + 1x + (1 * x + x * x))(-6 + x)(3i + x)(-3i + x) = 0
(1 + 1x + (1x + x2))(-6 + x)(3i + x)(-3i + x) = 0

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

Multiply (1 + 2x + x2) * (-6 + x)
(1(-6 + x) + 2x * (-6 + x) + x2(-6 + x))(3i + x)(-3i + x) = 0
((-6 * 1 + x * 1) + 2x * (-6 + x) + x2(-6 + x))(3i + x)(-3i + x) = 0
((-6 + 1x) + 2x * (-6 + x) + x2(-6 + x))(3i + x)(-3i + x) = 0
(-6 + 1x + (-6 * 2x + x * 2x) + x2(-6 + x))(3i + x)(-3i + x) = 0
(-6 + 1x + (-12x + 2x2) + x2(-6 + x))(3i + x)(-3i + x) = 0
(-6 + 1x + -12x + 2x2 + (-6 * x2 + x * x2))(3i + x)(-3i + x) = 0
(-6 + 1x + -12x + 2x2 + (-6x2 + x3))(3i + x)(-3i + x) = 0

Combine like terms: 1x + -12x = -11x
(-6 + -11x + 2x2 + -6x2 + x3)(3i + x)(-3i + x) = 0

Combine like terms: 2x2 + -6x2 = -4x2
(-6 + -11x + -4x2 + x3)(3i + x)(-3i + x) = 0

Multiply (-6 + -11x + -4x2 + x3) * (3i + x)
(-6(3i + x) + -11x * (3i + x) + -4x2 * (3i + x) + x3(3i + x))(-3i + x) = 0
((3i * -6 + x * -6) + -11x * (3i + x) + -4x2 * (3i + x) + x3(3i + x))(-3i + x) = 0
((-18i + -6x) + -11x * (3i + x) + -4x2 * (3i + x) + x3(3i + x))(-3i + x) = 0
(-18i + -6x + (3i * -11x + x * -11x) + -4x2 * (3i + x) + x3(3i + x))(-3i + x) = 0
(-18i + -6x + (-33ix + -11x2) + -4x2 * (3i + x) + x3(3i + x))(-3i + x) = 0
(-18i + -6x + -33ix + -11x2 + (3i * -4x2 + x * -4x2) + x3(3i + x))(-3i + x) = 0
(-18i + -6x + -33ix + -11x2 + (-12ix2 + -4x3) + x3(3i + x))(-3i + x) = 0
(-18i + -6x + -33ix + -11x2 + -12ix2 + -4x3 + (3i * x3 + x * x3))(-3i + x) = 0
(-18i + -6x + -33ix + -11x2 + -12ix2 + -4x3 + (3ix3 + x4))(-3i + x) = 0

Reorder the terms:
(-18i + -33ix + -12ix2 + 3ix3 + -6x + -11x2 + -4x3 + x4)(-3i + x) = 0
(-18i + -33ix + -12ix2 + 3ix3 + -6x + -11x2 + -4x3 + x4)(-3i + x) = 0

Multiply (-18i + -33ix + -12ix2 + 3ix3 + -6x + -11x2 + -4x3 + x4) * (-3i + x)
(-18i * (-3i + x) + -33ix * (-3i + x) + -12ix2 * (-3i + x) + 3ix3 * (-3i + x) + -6x * (-3i + x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0
((-3i * -18i + x * -18i) + -33ix * (-3i + x) + -12ix2 * (-3i + x) + 3ix3 * (-3i + x) + -6x * (-3i + x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0

Reorder the terms:
((-18ix + 54i2) + -33ix * (-3i + x) + -12ix2 * (-3i + x) + 3ix3 * (-3i + x) + -6x * (-3i + x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0
((-18ix + 54i2) + -33ix * (-3i + x) + -12ix2 * (-3i + x) + 3ix3 * (-3i + x) + -6x * (-3i + x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0
(-18ix + 54i2 + (-3i * -33ix + x * -33ix) + -12ix2 * (-3i + x) + 3ix3 * (-3i + x) + -6x * (-3i + x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0

Reorder the terms:
(-18ix + 54i2 + (-33ix2 + 99i2x) + -12ix2 * (-3i + x) + 3ix3 * (-3i + x) + -6x * (-3i + x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0
(-18ix + 54i2 + (-33ix2 + 99i2x) + -12ix2 * (-3i + x) + 3ix3 * (-3i + x) + -6x * (-3i + x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0
(-18ix + 54i2 + -33ix2 + 99i2x + (-3i * -12ix2 + x * -12ix2) + 3ix3 * (-3i + x) + -6x * (-3i + x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0

Reorder the terms:
(-18ix + 54i2 + -33ix2 + 99i2x + (-12ix3 + 36i2x2) + 3ix3 * (-3i + x) + -6x * (-3i + x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0
(-18ix + 54i2 + -33ix2 + 99i2x + (-12ix3 + 36i2x2) + 3ix3 * (-3i + x) + -6x * (-3i + x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0
(-18ix + 54i2 + -33ix2 + 99i2x + -12ix3 + 36i2x2 + (-3i * 3ix3 + x * 3ix3) + -6x * (-3i + x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0

Reorder the terms:
(-18ix + 54i2 + -33ix2 + 99i2x + -12ix3 + 36i2x2 + (3ix4 + -9i2x3) + -6x * (-3i + x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0
(-18ix + 54i2 + -33ix2 + 99i2x + -12ix3 + 36i2x2 + (3ix4 + -9i2x3) + -6x * (-3i + x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0
(-18ix + 54i2 + -33ix2 + 99i2x + -12ix3 + 36i2x2 + 3ix4 + -9i2x3 + (-3i * -6x + x * -6x) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0
(-18ix + 54i2 + -33ix2 + 99i2x + -12ix3 + 36i2x2 + 3ix4 + -9i2x3 + (18ix + -6x2) + -11x2 * (-3i + x) + -4x3 * (-3i + x) + x4(-3i + x)) = 0
(-18ix + 54i2 + -33ix2 + 99i2x + -12ix3 + 36i2x2 + 3ix4 + -9i2x3 + 18ix + -6x2 + (-3i * -11x2 + x * -11x2) + -4x3 * (-3i + x) + x4(-3i + x)) = 0
(-18ix + 54i2 + -33ix2 + 99i2x + -12ix3 + 36i2x2 + 3ix4 + -9i2x3 + 18ix + -6x2 + (33ix2 + -11x3) + -4x3 * (-3i + x) + x4(-3i + x)) = 0
(-18ix + 54i2 + -33ix2 + 99i2x + -12ix3 + 36i2x2 + 3ix4 + -9i2x3 + 18ix + -6x2 + 33ix2 + -11x3 + (-3i * -4x3 + x * -4x3) + x4(-3i + x)) = 0
(-18ix + 54i2 + -33ix2 + 99i2x + -12ix3 + 36i2x2 + 3ix4 + -9i2x3 + 18ix + -6x2 + 33ix2 + -11x3 + (12ix3 + -4x4) + x4(-3i + x)) = 0
(-18ix + 54i2 + -33ix2 + 99i2x + -12ix3 + 36i2x2 + 3ix4 + -9i2x3 + 18ix + -6x2 + 33ix2 + -11x3 + 12ix3 + -4x4 + (-3i * x4 + x * x4)) = 0
(-18ix + 54i2 + -33ix2 + 99i2x + -12ix3 + 36i2x2 + 3ix4 + -9i2x3 + 18ix + -6x2 + 33ix2 + -11x3 + 12ix3 + -4x4 + (-3ix4 + x5)) = 0

Reorder the terms:
(-18ix + 18ix + -33ix2 + 33ix2 + -12ix3 + 12ix3 + 3ix4 + -3ix4 + 54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5) = 0

Combine like terms: -18ix + 18ix = 0
(0 + -33ix2 + 33ix2 + -12ix3 + 12ix3 + 3ix4 + -3ix4 + 54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5) = 0
(-33ix2 + 33ix2 + -12ix3 + 12ix3 + 3ix4 + -3ix4 + 54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5) = 0

Combine like terms: -33ix2 + 33ix2 = 0
(0 + -12ix3 + 12ix3 + 3ix4 + -3ix4 + 54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5) = 0
(-12ix3 + 12ix3 + 3ix4 + -3ix4 + 54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5) = 0

Combine like terms: -12ix3 + 12ix3 = 0
(0 + 3ix4 + -3ix4 + 54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5) = 0
(3ix4 + -3ix4 + 54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5) = 0

Combine like terms: 3ix4 + -3ix4 = 0
(0 + 54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5) = 0
(54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5) = 0

Solving
54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5 = 0

Solving for variable 'i'.

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

Add '6x2' to each side of the equation.
54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + 6x2 + x5 = 0 + 6x2

Reorder the terms:
54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + 6x2 + -11x3 + -4x4 + x5 = 0 + 6x2

Combine like terms: -6x2 + 6x2 = 0
54i2 + 99i2x + 36i2x2 + -9i2x3 + 0 + -11x3 + -4x4 + x5 = 0 + 6x2
54i2 + 99i2x + 36i2x2 + -9i2x3 + -11x3 + -4x4 + x5 = 0 + 6x2
Remove the zero:
54i2 + 99i2x + 36i2x2 + -9i2x3 + -11x3 + -4x4 + x5 = 6x2

Add '11x3' to each side of the equation.
54i2 + 99i2x + 36i2x2 + -9i2x3 + -11x3 + -4x4 + 11x3 + x5 = 6x2 + 11x3

Reorder the terms:
54i2 + 99i2x + 36i2x2 + -9i2x3 + -11x3 + 11x3 + -4x4 + x5 = 6x2 + 11x3

Combine like terms: -11x3 + 11x3 = 0
54i2 + 99i2x + 36i2x2 + -9i2x3 + 0 + -4x4 + x5 = 6x2 + 11x3
54i2 + 99i2x + 36i2x2 + -9i2x3 + -4x4 + x5 = 6x2 + 11x3

Add '4x4' to each side of the equation.
54i2 + 99i2x + 36i2x2 + -9i2x3 + -4x4 + 4x4 + x5 = 6x2 + 11x3 + 4x4

Combine like terms: -4x4 + 4x4 = 0
54i2 + 99i2x + 36i2x2 + -9i2x3 + 0 + x5 = 6x2 + 11x3 + 4x4
54i2 + 99i2x + 36i2x2 + -9i2x3 + x5 = 6x2 + 11x3 + 4x4

Add '-1x5' to each side of the equation.
54i2 + 99i2x + 36i2x2 + -9i2x3 + x5 + -1x5 = 6x2 + 11x3 + 4x4 + -1x5

Combine like terms: x5 + -1x5 = 0
54i2 + 99i2x + 36i2x2 + -9i2x3 + 0 = 6x2 + 11x3 + 4x4 + -1x5
54i2 + 99i2x + 36i2x2 + -9i2x3 = 6x2 + 11x3 + 4x4 + -1x5

Reorder the terms:
54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5 = 6x2 + -6x2 + 11x3 + -11x3 + 4x4 + -4x4 + -1x5 + x5

Combine like terms: 6x2 + -6x2 = 0
54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5 = 0 + 11x3 + -11x3 + 4x4 + -4x4 + -1x5 + x5
54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5 = 11x3 + -11x3 + 4x4 + -4x4 + -1x5 + x5

Combine like terms: 11x3 + -11x3 = 0
54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5 = 0 + 4x4 + -4x4 + -1x5 + x5
54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5 = 4x4 + -4x4 + -1x5 + x5

Combine like terms: 4x4 + -4x4 = 0
54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5 = 0 + -1x5 + x5
54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5 = -1x5 + x5

Combine like terms: -1x5 + x5 = 0
54i2 + 99i2x + 36i2x2 + -9i2x3 + -6x2 + -11x3 + -4x4 + x5 = 0

The solution to this equation could not be determined.

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