(x-(-4-3i))(x-(-4-3i))(x+5)(x+5)=0

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Solution for (x-(-4-3i))(x-(-4-3i))(x+5)(x+5)=0 equation:


Simplifying
(x + -1(-4 + -3i))(x + -1(-4 + -3i))(x + 5)(x + 5) = 0
(x + (-4 * -1 + -3i * -1))(x + -1(-4 + -3i))(x + 5)(x + 5) = 0
(x + (4 + 3i))(x + -1(-4 + -3i))(x + 5)(x + 5) = 0

Reorder the terms:
(4 + 3i + x)(x + -1(-4 + -3i))(x + 5)(x + 5) = 0
(4 + 3i + x)(x + (-4 * -1 + -3i * -1))(x + 5)(x + 5) = 0
(4 + 3i + x)(x + (4 + 3i))(x + 5)(x + 5) = 0

Reorder the terms:
(4 + 3i + x)(4 + 3i + x)(x + 5)(x + 5) = 0

Reorder the terms:
(4 + 3i + x)(4 + 3i + x)(5 + x)(x + 5) = 0

Reorder the terms:
(4 + 3i + x)(4 + 3i + x)(5 + x)(5 + x) = 0

Multiply (4 + 3i + x) * (4 + 3i + x)
(4(4 + 3i + x) + 3i * (4 + 3i + x) + x(4 + 3i + x))(5 + x)(5 + x) = 0
((4 * 4 + 3i * 4 + x * 4) + 3i * (4 + 3i + x) + x(4 + 3i + x))(5 + x)(5 + x) = 0
((16 + 12i + 4x) + 3i * (4 + 3i + x) + x(4 + 3i + x))(5 + x)(5 + x) = 0
(16 + 12i + 4x + (4 * 3i + 3i * 3i + x * 3i) + x(4 + 3i + x))(5 + x)(5 + x) = 0

Reorder the terms:
(16 + 12i + 4x + (12i + 3ix + 9i2) + x(4 + 3i + x))(5 + x)(5 + x) = 0
(16 + 12i + 4x + (12i + 3ix + 9i2) + x(4 + 3i + x))(5 + x)(5 + x) = 0
(16 + 12i + 4x + 12i + 3ix + 9i2 + (4 * x + 3i * x + x * x))(5 + x)(5 + x) = 0

Reorder the terms:
(16 + 12i + 4x + 12i + 3ix + 9i2 + (3ix + 4x + x2))(5 + x)(5 + x) = 0
(16 + 12i + 4x + 12i + 3ix + 9i2 + (3ix + 4x + x2))(5 + x)(5 + x) = 0

Reorder the terms:
(16 + 12i + 12i + 3ix + 3ix + 9i2 + 4x + 4x + x2)(5 + x)(5 + x) = 0

Combine like terms: 12i + 12i = 24i
(16 + 24i + 3ix + 3ix + 9i2 + 4x + 4x + x2)(5 + x)(5 + x) = 0

Combine like terms: 3ix + 3ix = 6ix
(16 + 24i + 6ix + 9i2 + 4x + 4x + x2)(5 + x)(5 + x) = 0

Combine like terms: 4x + 4x = 8x
(16 + 24i + 6ix + 9i2 + 8x + x2)(5 + x)(5 + x) = 0

Multiply (16 + 24i + 6ix + 9i2 + 8x + x2) * (5 + x)
(16(5 + x) + 24i * (5 + x) + 6ix * (5 + x) + 9i2 * (5 + x) + 8x * (5 + x) + x2(5 + x))(5 + x) = 0
((5 * 16 + x * 16) + 24i * (5 + x) + 6ix * (5 + x) + 9i2 * (5 + x) + 8x * (5 + x) + x2(5 + x))(5 + x) = 0
((80 + 16x) + 24i * (5 + x) + 6ix * (5 + x) + 9i2 * (5 + x) + 8x * (5 + x) + x2(5 + x))(5 + x) = 0
(80 + 16x + (5 * 24i + x * 24i) + 6ix * (5 + x) + 9i2 * (5 + x) + 8x * (5 + x) + x2(5 + x))(5 + x) = 0
(80 + 16x + (120i + 24ix) + 6ix * (5 + x) + 9i2 * (5 + x) + 8x * (5 + x) + x2(5 + x))(5 + x) = 0
(80 + 16x + 120i + 24ix + (5 * 6ix + x * 6ix) + 9i2 * (5 + x) + 8x * (5 + x) + x2(5 + x))(5 + x) = 0
(80 + 16x + 120i + 24ix + (30ix + 6ix2) + 9i2 * (5 + x) + 8x * (5 + x) + x2(5 + x))(5 + x) = 0
(80 + 16x + 120i + 24ix + 30ix + 6ix2 + (5 * 9i2 + x * 9i2) + 8x * (5 + x) + x2(5 + x))(5 + x) = 0
(80 + 16x + 120i + 24ix + 30ix + 6ix2 + (45i2 + 9i2x) + 8x * (5 + x) + x2(5 + x))(5 + x) = 0
(80 + 16x + 120i + 24ix + 30ix + 6ix2 + 45i2 + 9i2x + (5 * 8x + x * 8x) + x2(5 + x))(5 + x) = 0
(80 + 16x + 120i + 24ix + 30ix + 6ix2 + 45i2 + 9i2x + (40x + 8x2) + x2(5 + x))(5 + x) = 0
(80 + 16x + 120i + 24ix + 30ix + 6ix2 + 45i2 + 9i2x + 40x + 8x2 + (5 * x2 + x * x2))(5 + x) = 0
(80 + 16x + 120i + 24ix + 30ix + 6ix2 + 45i2 + 9i2x + 40x + 8x2 + (5x2 + x3))(5 + x) = 0

Reorder the terms:
(80 + 120i + 24ix + 30ix + 6ix2 + 45i2 + 9i2x + 16x + 40x + 8x2 + 5x2 + x3)(5 + x) = 0

Combine like terms: 24ix + 30ix = 54ix
(80 + 120i + 54ix + 6ix2 + 45i2 + 9i2x + 16x + 40x + 8x2 + 5x2 + x3)(5 + x) = 0

Combine like terms: 16x + 40x = 56x
(80 + 120i + 54ix + 6ix2 + 45i2 + 9i2x + 56x + 8x2 + 5x2 + x3)(5 + x) = 0

Combine like terms: 8x2 + 5x2 = 13x2
(80 + 120i + 54ix + 6ix2 + 45i2 + 9i2x + 56x + 13x2 + x3)(5 + x) = 0

Multiply (80 + 120i + 54ix + 6ix2 + 45i2 + 9i2x + 56x + 13x2 + x3) * (5 + x)
(80(5 + x) + 120i * (5 + x) + 54ix * (5 + x) + 6ix2 * (5 + x) + 45i2 * (5 + x) + 9i2x * (5 + x) + 56x * (5 + x) + 13x2 * (5 + x) + x3(5 + x)) = 0
((5 * 80 + x * 80) + 120i * (5 + x) + 54ix * (5 + x) + 6ix2 * (5 + x) + 45i2 * (5 + x) + 9i2x * (5 + x) + 56x * (5 + x) + 13x2 * (5 + x) + x3(5 + x)) = 0
((400 + 80x) + 120i * (5 + x) + 54ix * (5 + x) + 6ix2 * (5 + x) + 45i2 * (5 + x) + 9i2x * (5 + x) + 56x * (5 + x) + 13x2 * (5 + x) + x3(5 + x)) = 0
(400 + 80x + (5 * 120i + x * 120i) + 54ix * (5 + x) + 6ix2 * (5 + x) + 45i2 * (5 + x) + 9i2x * (5 + x) + 56x * (5 + x) + 13x2 * (5 + x) + x3(5 + x)) = 0
(400 + 80x + (600i + 120ix) + 54ix * (5 + x) + 6ix2 * (5 + x) + 45i2 * (5 + x) + 9i2x * (5 + x) + 56x * (5 + x) + 13x2 * (5 + x) + x3(5 + x)) = 0
(400 + 80x + 600i + 120ix + (5 * 54ix + x * 54ix) + 6ix2 * (5 + x) + 45i2 * (5 + x) + 9i2x * (5 + x) + 56x * (5 + x) + 13x2 * (5 + x) + x3(5 + x)) = 0
(400 + 80x + 600i + 120ix + (270ix + 54ix2) + 6ix2 * (5 + x) + 45i2 * (5 + x) + 9i2x * (5 + x) + 56x * (5 + x) + 13x2 * (5 + x) + x3(5 + x)) = 0
(400 + 80x + 600i + 120ix + 270ix + 54ix2 + (5 * 6ix2 + x * 6ix2) + 45i2 * (5 + x) + 9i2x * (5 + x) + 56x * (5 + x) + 13x2 * (5 + x) + x3(5 + x)) = 0
(400 + 80x + 600i + 120ix + 270ix + 54ix2 + (30ix2 + 6ix3) + 45i2 * (5 + x) + 9i2x * (5 + x) + 56x * (5 + x) + 13x2 * (5 + x) + x3(5 + x)) = 0
(400 + 80x + 600i + 120ix + 270ix + 54ix2 + 30ix2 + 6ix3 + (5 * 45i2 + x * 45i2) + 9i2x * (5 + x) + 56x * (5 + x) + 13x2 * (5 + x) + x3(5 + x)) = 0
(400 + 80x + 600i + 120ix + 270ix + 54ix2 + 30ix2 + 6ix3 + (225i2 + 45i2x) + 9i2x * (5 + x) + 56x * (5 + x) + 13x2 * (5 + x) + x3(5 + x)) = 0
(400 + 80x + 600i + 120ix + 270ix + 54ix2 + 30ix2 + 6ix3 + 225i2 + 45i2x + (5 * 9i2x + x * 9i2x) + 56x * (5 + x) + 13x2 * (5 + x) + x3(5 + x)) = 0
(400 + 80x + 600i + 120ix + 270ix + 54ix2 + 30ix2 + 6ix3 + 225i2 + 45i2x + (45i2x + 9i2x2) + 56x * (5 + x) + 13x2 * (5 + x) + x3(5 + x)) = 0
(400 + 80x + 600i + 120ix + 270ix + 54ix2 + 30ix2 + 6ix3 + 225i2 + 45i2x + 45i2x + 9i2x2 + (5 * 56x + x * 56x) + 13x2 * (5 + x) + x3(5 + x)) = 0
(400 + 80x + 600i + 120ix + 270ix + 54ix2 + 30ix2 + 6ix3 + 225i2 + 45i2x + 45i2x + 9i2x2 + (280x + 56x2) + 13x2 * (5 + x) + x3(5 + x)) = 0
(400 + 80x + 600i + 120ix + 270ix + 54ix2 + 30ix2 + 6ix3 + 225i2 + 45i2x + 45i2x + 9i2x2 + 280x + 56x2 + (5 * 13x2 + x * 13x2) + x3(5 + x)) = 0
(400 + 80x + 600i + 120ix + 270ix + 54ix2 + 30ix2 + 6ix3 + 225i2 + 45i2x + 45i2x + 9i2x2 + 280x + 56x2 + (65x2 + 13x3) + x3(5 + x)) = 0
(400 + 80x + 600i + 120ix + 270ix + 54ix2 + 30ix2 + 6ix3 + 225i2 + 45i2x + 45i2x + 9i2x2 + 280x + 56x2 + 65x2 + 13x3 + (5 * x3 + x * x3)) = 0
(400 + 80x + 600i + 120ix + 270ix + 54ix2 + 30ix2 + 6ix3 + 225i2 + 45i2x + 45i2x + 9i2x2 + 280x + 56x2 + 65x2 + 13x3 + (5x3 + x4)) = 0

Reorder the terms:
(400 + 600i + 120ix + 270ix + 54ix2 + 30ix2 + 6ix3 + 225i2 + 45i2x + 45i2x + 9i2x2 + 80x + 280x + 56x2 + 65x2 + 13x3 + 5x3 + x4) = 0

Combine like terms: 120ix + 270ix = 390ix
(400 + 600i + 390ix + 54ix2 + 30ix2 + 6ix3 + 225i2 + 45i2x + 45i2x + 9i2x2 + 80x + 280x + 56x2 + 65x2 + 13x3 + 5x3 + x4) = 0

Combine like terms: 54ix2 + 30ix2 = 84ix2
(400 + 600i + 390ix + 84ix2 + 6ix3 + 225i2 + 45i2x + 45i2x + 9i2x2 + 80x + 280x + 56x2 + 65x2 + 13x3 + 5x3 + x4) = 0

Combine like terms: 45i2x + 45i2x = 90i2x
(400 + 600i + 390ix + 84ix2 + 6ix3 + 225i2 + 90i2x + 9i2x2 + 80x + 280x + 56x2 + 65x2 + 13x3 + 5x3 + x4) = 0

Combine like terms: 80x + 280x = 360x
(400 + 600i + 390ix + 84ix2 + 6ix3 + 225i2 + 90i2x + 9i2x2 + 360x + 56x2 + 65x2 + 13x3 + 5x3 + x4) = 0

Combine like terms: 56x2 + 65x2 = 121x2
(400 + 600i + 390ix + 84ix2 + 6ix3 + 225i2 + 90i2x + 9i2x2 + 360x + 121x2 + 13x3 + 5x3 + x4) = 0

Combine like terms: 13x3 + 5x3 = 18x3
(400 + 600i + 390ix + 84ix2 + 6ix3 + 225i2 + 90i2x + 9i2x2 + 360x + 121x2 + 18x3 + x4) = 0

Solving
400 + 600i + 390ix + 84ix2 + 6ix3 + 225i2 + 90i2x + 9i2x2 + 360x + 121x2 + 18x3 + x4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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