(x-6)(x+i)(x-i)(x+(5+i))(x+(5-i))=0

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Solution for (x-6)(x+i)(x-i)(x+(5+i))(x+(5-i))=0 equation:


Simplifying
(x + -6)(x + i)(x + -1i)(x + (5 + i))(x + (5 + -1i)) = 0

Reorder the terms:
(-6 + x)(x + i)(x + -1i)(x + (5 + i))(x + (5 + -1i)) = 0

Reorder the terms:
(-6 + x)(i + x)(x + -1i)(x + (5 + i))(x + (5 + -1i)) = 0

Reorder the terms:
(-6 + x)(i + x)(-1i + x)(x + (5 + i))(x + (5 + -1i)) = 0

Remove parenthesis around (5 + i)
(-6 + x)(i + x)(-1i + x)(x + 5 + i)(x + (5 + -1i)) = 0

Reorder the terms:
(-6 + x)(i + x)(-1i + x)(5 + i + x)(x + (5 + -1i)) = 0

Remove parenthesis around (5 + -1i)
(-6 + x)(i + x)(-1i + x)(5 + i + x)(x + 5 + -1i) = 0

Reorder the terms:
(-6 + x)(i + x)(-1i + x)(5 + i + x)(5 + -1i + x) = 0

Multiply (-6 + x) * (i + x)
(-6(i + x) + x(i + x))(-1i + x)(5 + i + x)(5 + -1i + x) = 0
((i * -6 + x * -6) + x(i + x))(-1i + x)(5 + i + x)(5 + -1i + x) = 0
((-6i + -6x) + x(i + x))(-1i + x)(5 + i + x)(5 + -1i + x) = 0
(-6i + -6x + (i * x + x * x))(-1i + x)(5 + i + x)(5 + -1i + x) = 0
(-6i + -6x + (ix + x2))(-1i + x)(5 + i + x)(5 + -1i + x) = 0

Reorder the terms:
(-6i + ix + -6x + x2)(-1i + x)(5 + i + x)(5 + -1i + x) = 0
(-6i + ix + -6x + x2)(-1i + x)(5 + i + x)(5 + -1i + x) = 0

Multiply (-6i + ix + -6x + x2) * (-1i + x)
(-6i * (-1i + x) + ix(-1i + x) + -6x * (-1i + x) + x2(-1i + x))(5 + i + x)(5 + -1i + x) = 0
((-1i * -6i + x * -6i) + ix(-1i + x) + -6x * (-1i + x) + x2(-1i + x))(5 + i + x)(5 + -1i + x) = 0

Reorder the terms:
((-6ix + 6i2) + ix(-1i + x) + -6x * (-1i + x) + x2(-1i + x))(5 + i + x)(5 + -1i + x) = 0
((-6ix + 6i2) + ix(-1i + x) + -6x * (-1i + x) + x2(-1i + x))(5 + i + x)(5 + -1i + x) = 0
(-6ix + 6i2 + (-1i * ix + x * ix) + -6x * (-1i + x) + x2(-1i + x))(5 + i + x)(5 + -1i + x) = 0

Reorder the terms:
(-6ix + 6i2 + (ix2 + -1i2x) + -6x * (-1i + x) + x2(-1i + x))(5 + i + x)(5 + -1i + x) = 0
(-6ix + 6i2 + (ix2 + -1i2x) + -6x * (-1i + x) + x2(-1i + x))(5 + i + x)(5 + -1i + x) = 0
(-6ix + 6i2 + ix2 + -1i2x + (-1i * -6x + x * -6x) + x2(-1i + x))(5 + i + x)(5 + -1i + x) = 0
(-6ix + 6i2 + ix2 + -1i2x + (6ix + -6x2) + x2(-1i + x))(5 + i + x)(5 + -1i + x) = 0
(-6ix + 6i2 + ix2 + -1i2x + 6ix + -6x2 + (-1i * x2 + x * x2))(5 + i + x)(5 + -1i + x) = 0
(-6ix + 6i2 + ix2 + -1i2x + 6ix + -6x2 + (-1ix2 + x3))(5 + i + x)(5 + -1i + x) = 0

Reorder the terms:
(-6ix + 6ix + ix2 + -1ix2 + 6i2 + -1i2x + -6x2 + x3)(5 + i + x)(5 + -1i + x) = 0

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

Combine like terms: ix2 + -1ix2 = 0
(0 + 6i2 + -1i2x + -6x2 + x3)(5 + i + x)(5 + -1i + x) = 0
(6i2 + -1i2x + -6x2 + x3)(5 + i + x)(5 + -1i + x) = 0

Multiply (6i2 + -1i2x + -6x2 + x3) * (5 + i + x)
(6i2 * (5 + i + x) + -1i2x * (5 + i + x) + -6x2 * (5 + i + x) + x3(5 + i + x))(5 + -1i + x) = 0
((5 * 6i2 + i * 6i2 + x * 6i2) + -1i2x * (5 + i + x) + -6x2 * (5 + i + x) + x3(5 + i + x))(5 + -1i + x) = 0

Reorder the terms:
((30i2 + 6i2x + 6i3) + -1i2x * (5 + i + x) + -6x2 * (5 + i + x) + x3(5 + i + x))(5 + -1i + x) = 0
((30i2 + 6i2x + 6i3) + -1i2x * (5 + i + x) + -6x2 * (5 + i + x) + x3(5 + i + x))(5 + -1i + x) = 0
(30i2 + 6i2x + 6i3 + (5 * -1i2x + i * -1i2x + x * -1i2x) + -6x2 * (5 + i + x) + x3(5 + i + x))(5 + -1i + x) = 0

Reorder the terms:
(30i2 + 6i2x + 6i3 + (-5i2x + -1i2x2 + -1i3x) + -6x2 * (5 + i + x) + x3(5 + i + x))(5 + -1i + x) = 0
(30i2 + 6i2x + 6i3 + (-5i2x + -1i2x2 + -1i3x) + -6x2 * (5 + i + x) + x3(5 + i + x))(5 + -1i + x) = 0
(30i2 + 6i2x + 6i3 + -5i2x + -1i2x2 + -1i3x + (5 * -6x2 + i * -6x2 + x * -6x2) + x3(5 + i + x))(5 + -1i + x) = 0

Reorder the terms:
(30i2 + 6i2x + 6i3 + -5i2x + -1i2x2 + -1i3x + (-6ix2 + -30x2 + -6x3) + x3(5 + i + x))(5 + -1i + x) = 0
(30i2 + 6i2x + 6i3 + -5i2x + -1i2x2 + -1i3x + (-6ix2 + -30x2 + -6x3) + x3(5 + i + x))(5 + -1i + x) = 0
(30i2 + 6i2x + 6i3 + -5i2x + -1i2x2 + -1i3x + -6ix2 + -30x2 + -6x3 + (5 * x3 + i * x3 + x * x3))(5 + -1i + x) = 0

Reorder the terms:
(30i2 + 6i2x + 6i3 + -5i2x + -1i2x2 + -1i3x + -6ix2 + -30x2 + -6x3 + (ix3 + 5x3 + x4))(5 + -1i + x) = 0
(30i2 + 6i2x + 6i3 + -5i2x + -1i2x2 + -1i3x + -6ix2 + -30x2 + -6x3 + (ix3 + 5x3 + x4))(5 + -1i + x) = 0

Reorder the terms:
(-6ix2 + ix3 + 30i2 + 6i2x + -5i2x + -1i2x2 + 6i3 + -1i3x + -30x2 + -6x3 + 5x3 + x4)(5 + -1i + x) = 0

Combine like terms: 6i2x + -5i2x = 1i2x
(-6ix2 + ix3 + 30i2 + 1i2x + -1i2x2 + 6i3 + -1i3x + -30x2 + -6x3 + 5x3 + x4)(5 + -1i + x) = 0

Combine like terms: -6x3 + 5x3 = -1x3
(-6ix2 + ix3 + 30i2 + 1i2x + -1i2x2 + 6i3 + -1i3x + -30x2 + -1x3 + x4)(5 + -1i + x) = 0

Multiply (-6ix2 + ix3 + 30i2 + 1i2x + -1i2x2 + 6i3 + -1i3x + -30x2 + -1x3 + x4) * (5 + -1i + x)
(-6ix2 * (5 + -1i + x) + ix3(5 + -1i + x) + 30i2 * (5 + -1i + x) + 1i2x * (5 + -1i + x) + -1i2x2 * (5 + -1i + x) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
((5 * -6ix2 + -1i * -6ix2 + x * -6ix2) + ix3(5 + -1i + x) + 30i2 * (5 + -1i + x) + 1i2x * (5 + -1i + x) + -1i2x2 * (5 + -1i + x) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0

Reorder the terms:
((-30ix2 + -6ix3 + 6i2x2) + ix3(5 + -1i + x) + 30i2 * (5 + -1i + x) + 1i2x * (5 + -1i + x) + -1i2x2 * (5 + -1i + x) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
((-30ix2 + -6ix3 + 6i2x2) + ix3(5 + -1i + x) + 30i2 * (5 + -1i + x) + 1i2x * (5 + -1i + x) + -1i2x2 * (5 + -1i + x) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + (5 * ix3 + -1i * ix3 + x * ix3) + 30i2 * (5 + -1i + x) + 1i2x * (5 + -1i + x) + -1i2x2 * (5 + -1i + x) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0

Reorder the terms:
(-30ix2 + -6ix3 + 6i2x2 + (5ix3 + ix4 + -1i2x3) + 30i2 * (5 + -1i + x) + 1i2x * (5 + -1i + x) + -1i2x2 * (5 + -1i + x) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + (5ix3 + ix4 + -1i2x3) + 30i2 * (5 + -1i + x) + 1i2x * (5 + -1i + x) + -1i2x2 * (5 + -1i + x) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + (5 * 30i2 + -1i * 30i2 + x * 30i2) + 1i2x * (5 + -1i + x) + -1i2x2 * (5 + -1i + x) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0

Reorder the terms:
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + (150i2 + 30i2x + -30i3) + 1i2x * (5 + -1i + x) + -1i2x2 * (5 + -1i + x) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + (150i2 + 30i2x + -30i3) + 1i2x * (5 + -1i + x) + -1i2x2 * (5 + -1i + x) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + (5 * 1i2x + -1i * 1i2x + x * 1i2x) + -1i2x2 * (5 + -1i + x) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0

Reorder the terms:
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + (5i2x + 1i2x2 + -1i3x) + -1i2x2 * (5 + -1i + x) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + (5i2x + 1i2x2 + -1i3x) + -1i2x2 * (5 + -1i + x) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + (5 * -1i2x2 + -1i * -1i2x2 + x * -1i2x2) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0

Reorder the terms:
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + (-5i2x2 + -1i2x3 + 1i3x2) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + (-5i2x2 + -1i2x3 + 1i3x2) + 6i3 * (5 + -1i + x) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + (5 * 6i3 + -1i * 6i3 + x * 6i3) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0

Reorder the terms:
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + (30i3 + 6i3x + -6i4) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + (30i3 + 6i3x + -6i4) + -1i3x * (5 + -1i + x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + 30i3 + 6i3x + -6i4 + (5 * -1i3x + -1i * -1i3x + x * -1i3x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0

Reorder the terms:
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + 30i3 + 6i3x + -6i4 + (-5i3x + -1i3x2 + 1i4x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + 30i3 + 6i3x + -6i4 + (-5i3x + -1i3x2 + 1i4x) + -30x2 * (5 + -1i + x) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + 30i3 + 6i3x + -6i4 + -5i3x + -1i3x2 + 1i4x + (5 * -30x2 + -1i * -30x2 + x * -30x2) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0

Reorder the terms:
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + 30i3 + 6i3x + -6i4 + -5i3x + -1i3x2 + 1i4x + (30ix2 + -150x2 + -30x3) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + 30i3 + 6i3x + -6i4 + -5i3x + -1i3x2 + 1i4x + (30ix2 + -150x2 + -30x3) + -1x3 * (5 + -1i + x) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + 30i3 + 6i3x + -6i4 + -5i3x + -1i3x2 + 1i4x + 30ix2 + -150x2 + -30x3 + (5 * -1x3 + -1i * -1x3 + x * -1x3) + x4(5 + -1i + x)) = 0

Reorder the terms:
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + 30i3 + 6i3x + -6i4 + -5i3x + -1i3x2 + 1i4x + 30ix2 + -150x2 + -30x3 + (1ix3 + -5x3 + -1x4) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + 30i3 + 6i3x + -6i4 + -5i3x + -1i3x2 + 1i4x + 30ix2 + -150x2 + -30x3 + (1ix3 + -5x3 + -1x4) + x4(5 + -1i + x)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + 30i3 + 6i3x + -6i4 + -5i3x + -1i3x2 + 1i4x + 30ix2 + -150x2 + -30x3 + 1ix3 + -5x3 + -1x4 + (5 * x4 + -1i * x4 + x * x4)) = 0

Reorder the terms:
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + 30i3 + 6i3x + -6i4 + -5i3x + -1i3x2 + 1i4x + 30ix2 + -150x2 + -30x3 + 1ix3 + -5x3 + -1x4 + (-1ix4 + 5x4 + x5)) = 0
(-30ix2 + -6ix3 + 6i2x2 + 5ix3 + ix4 + -1i2x3 + 150i2 + 30i2x + -30i3 + 5i2x + 1i2x2 + -1i3x + -5i2x2 + -1i2x3 + 1i3x2 + 30i3 + 6i3x + -6i4 + -5i3x + -1i3x2 + 1i4x + 30ix2 + -150x2 + -30x3 + 1ix3 + -5x3 + -1x4 + (-1ix4 + 5x4 + x5)) = 0

Reorder the terms:
(-30ix2 + 30ix2 + -6ix3 + 5ix3 + 1ix3 + ix4 + -1ix4 + 150i2 + 30i2x + 5i2x + 6i2x2 + 1i2x2 + -5i2x2 + -1i2x3 + -1i2x3 + -30i3 + 30i3 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: -30ix2 + 30ix2 = 0
(0 + -6ix3 + 5ix3 + 1ix3 + ix4 + -1ix4 + 150i2 + 30i2x + 5i2x + 6i2x2 + 1i2x2 + -5i2x2 + -1i2x3 + -1i2x3 + -30i3 + 30i3 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0
(-6ix3 + 5ix3 + 1ix3 + ix4 + -1ix4 + 150i2 + 30i2x + 5i2x + 6i2x2 + 1i2x2 + -5i2x2 + -1i2x3 + -1i2x3 + -30i3 + 30i3 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: -6ix3 + 5ix3 = -1ix3
(-1ix3 + 1ix3 + ix4 + -1ix4 + 150i2 + 30i2x + 5i2x + 6i2x2 + 1i2x2 + -5i2x2 + -1i2x3 + -1i2x3 + -30i3 + 30i3 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: -1ix3 + 1ix3 = 0
(0 + ix4 + -1ix4 + 150i2 + 30i2x + 5i2x + 6i2x2 + 1i2x2 + -5i2x2 + -1i2x3 + -1i2x3 + -30i3 + 30i3 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0
(ix4 + -1ix4 + 150i2 + 30i2x + 5i2x + 6i2x2 + 1i2x2 + -5i2x2 + -1i2x3 + -1i2x3 + -30i3 + 30i3 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: ix4 + -1ix4 = 0
(0 + 150i2 + 30i2x + 5i2x + 6i2x2 + 1i2x2 + -5i2x2 + -1i2x3 + -1i2x3 + -30i3 + 30i3 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0
(150i2 + 30i2x + 5i2x + 6i2x2 + 1i2x2 + -5i2x2 + -1i2x3 + -1i2x3 + -30i3 + 30i3 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: 30i2x + 5i2x = 35i2x
(150i2 + 35i2x + 6i2x2 + 1i2x2 + -5i2x2 + -1i2x3 + -1i2x3 + -30i3 + 30i3 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: 6i2x2 + 1i2x2 = 7i2x2
(150i2 + 35i2x + 7i2x2 + -5i2x2 + -1i2x3 + -1i2x3 + -30i3 + 30i3 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: 7i2x2 + -5i2x2 = 2i2x2
(150i2 + 35i2x + 2i2x2 + -1i2x3 + -1i2x3 + -30i3 + 30i3 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: -1i2x3 + -1i2x3 = -2i2x3
(150i2 + 35i2x + 2i2x2 + -2i2x3 + -30i3 + 30i3 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: -30i3 + 30i3 = 0
(150i2 + 35i2x + 2i2x2 + -2i2x3 + 0 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0
(150i2 + 35i2x + 2i2x2 + -2i2x3 + -1i3x + 6i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: -1i3x + 6i3x = 5i3x
(150i2 + 35i2x + 2i2x2 + -2i2x3 + 5i3x + -5i3x + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: 5i3x + -5i3x = 0
(150i2 + 35i2x + 2i2x2 + -2i2x3 + 0 + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0
(150i2 + 35i2x + 2i2x2 + -2i2x3 + 1i3x2 + -1i3x2 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: 1i3x2 + -1i3x2 = 0
(150i2 + 35i2x + 2i2x2 + -2i2x3 + 0 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0
(150i2 + 35i2x + 2i2x2 + -2i2x3 + -6i4 + 1i4x + -150x2 + -30x3 + -5x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: -30x3 + -5x3 = -35x3
(150i2 + 35i2x + 2i2x2 + -2i2x3 + -6i4 + 1i4x + -150x2 + -35x3 + -1x4 + 5x4 + x5) = 0

Combine like terms: -1x4 + 5x4 = 4x4
(150i2 + 35i2x + 2i2x2 + -2i2x3 + -6i4 + 1i4x + -150x2 + -35x3 + 4x4 + x5) = 0

Solving
150i2 + 35i2x + 2i2x2 + -2i2x3 + -6i4 + 1i4x + -150x2 + -35x3 + 4x4 + x5 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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