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

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


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

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

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

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

Multiply (-4 + X + -3i) * (4 + 3i + x)
(-4(4 + 3i + x) + X(4 + 3i + x) + -3i * (4 + 3i + x))(5 + x) = 0
((4 * -4 + 3i * -4 + x * -4) + X(4 + 3i + x) + -3i * (4 + 3i + x))(5 + x) = 0
((-16 + -12i + -4x) + X(4 + 3i + x) + -3i * (4 + 3i + x))(5 + x) = 0
(-16 + -12i + -4x + (4 * X + 3i * X + x * X) + -3i * (4 + 3i + x))(5 + x) = 0
(-16 + -12i + -4x + (4X + 3iX + xX) + -3i * (4 + 3i + x))(5 + x) = 0
(-16 + -12i + -4x + 4X + 3iX + xX + (4 * -3i + 3i * -3i + x * -3i))(5 + x) = 0

Reorder the terms:
(-16 + -12i + -4x + 4X + 3iX + xX + (-12i + -3ix + -9i2))(5 + x) = 0
(-16 + -12i + -4x + 4X + 3iX + xX + (-12i + -3ix + -9i2))(5 + x) = 0

Reorder the terms:
(-16 + 4X + -12i + -12i + 3iX + -3ix + -9i2 + -4x + xX)(5 + x) = 0

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

Multiply (-16 + 4X + -24i + 3iX + -3ix + -9i2 + -4x + xX) * (5 + x)
(-16(5 + x) + 4X * (5 + x) + -24i * (5 + x) + 3iX * (5 + x) + -3ix * (5 + x) + -9i2 * (5 + x) + -4x * (5 + x) + xX(5 + x)) = 0
((5 * -16 + x * -16) + 4X * (5 + x) + -24i * (5 + x) + 3iX * (5 + x) + -3ix * (5 + x) + -9i2 * (5 + x) + -4x * (5 + x) + xX(5 + x)) = 0
((-80 + -16x) + 4X * (5 + x) + -24i * (5 + x) + 3iX * (5 + x) + -3ix * (5 + x) + -9i2 * (5 + x) + -4x * (5 + x) + xX(5 + x)) = 0
(-80 + -16x + (5 * 4X + x * 4X) + -24i * (5 + x) + 3iX * (5 + x) + -3ix * (5 + x) + -9i2 * (5 + x) + -4x * (5 + x) + xX(5 + x)) = 0
(-80 + -16x + (20X + 4xX) + -24i * (5 + x) + 3iX * (5 + x) + -3ix * (5 + x) + -9i2 * (5 + x) + -4x * (5 + x) + xX(5 + x)) = 0
(-80 + -16x + 20X + 4xX + (5 * -24i + x * -24i) + 3iX * (5 + x) + -3ix * (5 + x) + -9i2 * (5 + x) + -4x * (5 + x) + xX(5 + x)) = 0
(-80 + -16x + 20X + 4xX + (-120i + -24ix) + 3iX * (5 + x) + -3ix * (5 + x) + -9i2 * (5 + x) + -4x * (5 + x) + xX(5 + x)) = 0
(-80 + -16x + 20X + 4xX + -120i + -24ix + (5 * 3iX + x * 3iX) + -3ix * (5 + x) + -9i2 * (5 + x) + -4x * (5 + x) + xX(5 + x)) = 0
(-80 + -16x + 20X + 4xX + -120i + -24ix + (15iX + 3ixX) + -3ix * (5 + x) + -9i2 * (5 + x) + -4x * (5 + x) + xX(5 + x)) = 0
(-80 + -16x + 20X + 4xX + -120i + -24ix + 15iX + 3ixX + (5 * -3ix + x * -3ix) + -9i2 * (5 + x) + -4x * (5 + x) + xX(5 + x)) = 0
(-80 + -16x + 20X + 4xX + -120i + -24ix + 15iX + 3ixX + (-15ix + -3ix2) + -9i2 * (5 + x) + -4x * (5 + x) + xX(5 + x)) = 0
(-80 + -16x + 20X + 4xX + -120i + -24ix + 15iX + 3ixX + -15ix + -3ix2 + (5 * -9i2 + x * -9i2) + -4x * (5 + x) + xX(5 + x)) = 0
(-80 + -16x + 20X + 4xX + -120i + -24ix + 15iX + 3ixX + -15ix + -3ix2 + (-45i2 + -9i2x) + -4x * (5 + x) + xX(5 + x)) = 0
(-80 + -16x + 20X + 4xX + -120i + -24ix + 15iX + 3ixX + -15ix + -3ix2 + -45i2 + -9i2x + (5 * -4x + x * -4x) + xX(5 + x)) = 0
(-80 + -16x + 20X + 4xX + -120i + -24ix + 15iX + 3ixX + -15ix + -3ix2 + -45i2 + -9i2x + (-20x + -4x2) + xX(5 + x)) = 0
(-80 + -16x + 20X + 4xX + -120i + -24ix + 15iX + 3ixX + -15ix + -3ix2 + -45i2 + -9i2x + -20x + -4x2 + (5 * xX + x * xX)) = 0
(-80 + -16x + 20X + 4xX + -120i + -24ix + 15iX + 3ixX + -15ix + -3ix2 + -45i2 + -9i2x + -20x + -4x2 + (5xX + x2X)) = 0

Reorder the terms:
(-80 + 20X + -120i + 15iX + -24ix + -15ix + 3ixX + -3ix2 + -45i2 + -9i2x + -16x + -20x + 4xX + 5xX + -4x2 + x2X) = 0

Combine like terms: -24ix + -15ix = -39ix
(-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -16x + -20x + 4xX + 5xX + -4x2 + x2X) = 0

Combine like terms: -16x + -20x = -36x
(-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 4xX + 5xX + -4x2 + x2X) = 0

Combine like terms: 4xX + 5xX = 9xX
(-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X) = 0

Solving
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 0

Solving for variable 'X'.

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

Add '80' to each side of the equation.
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + 80 + x2X = 0 + 80

Reorder the terms:
-80 + 80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 0 + 80

Combine like terms: -80 + 80 = 0
0 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 0 + 80
20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 0 + 80

Combine like terms: 0 + 80 = 80
20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 80

Add '120i' to each side of the equation.
20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + 120i + x2X = 80 + 120i

Reorder the terms:
20X + -120i + 120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i

Combine like terms: -120i + 120i = 0
20X + 0 + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i
20X + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i

Add '39ix' to each side of the equation.
20X + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + 39ix + x2X = 80 + 120i + 39ix

Reorder the terms:
20X + 15iX + -39ix + 39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix

Combine like terms: -39ix + 39ix = 0
20X + 15iX + 0 + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix
20X + 15iX + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix

Add '3ix2' to each side of the equation.
20X + 15iX + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + 3ix2 + x2X = 80 + 120i + 39ix + 3ix2

Reorder the terms:
20X + 15iX + 3ixX + -3ix2 + 3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix + 3ix2

Combine like terms: -3ix2 + 3ix2 = 0
20X + 15iX + 3ixX + 0 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix + 3ix2
20X + 15iX + 3ixX + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix + 3ix2

Add '45i2' to each side of the equation.
20X + 15iX + 3ixX + -45i2 + -9i2x + -36x + 9xX + -4x2 + 45i2 + x2X = 80 + 120i + 39ix + 3ix2 + 45i2

Reorder the terms:
20X + 15iX + 3ixX + -45i2 + 45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix + 3ix2 + 45i2

Combine like terms: -45i2 + 45i2 = 0
20X + 15iX + 3ixX + 0 + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix + 3ix2 + 45i2
20X + 15iX + 3ixX + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix + 3ix2 + 45i2

Add '9i2x' to each side of the equation.
20X + 15iX + 3ixX + -9i2x + -36x + 9xX + -4x2 + 9i2x + x2X = 80 + 120i + 39ix + 3ix2 + 45i2 + 9i2x

Reorder the terms:
20X + 15iX + 3ixX + -9i2x + 9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix + 3ix2 + 45i2 + 9i2x

Combine like terms: -9i2x + 9i2x = 0
20X + 15iX + 3ixX + 0 + -36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix + 3ix2 + 45i2 + 9i2x
20X + 15iX + 3ixX + -36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix + 3ix2 + 45i2 + 9i2x

Add '36x' to each side of the equation.
20X + 15iX + 3ixX + -36x + 9xX + -4x2 + 36x + x2X = 80 + 120i + 39ix + 3ix2 + 45i2 + 9i2x + 36x

Reorder the terms:
20X + 15iX + 3ixX + -36x + 36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix + 3ix2 + 45i2 + 9i2x + 36x

Combine like terms: -36x + 36x = 0
20X + 15iX + 3ixX + 0 + 9xX + -4x2 + x2X = 80 + 120i + 39ix + 3ix2 + 45i2 + 9i2x + 36x
20X + 15iX + 3ixX + 9xX + -4x2 + x2X = 80 + 120i + 39ix + 3ix2 + 45i2 + 9i2x + 36x

Add '4x2' to each side of the equation.
20X + 15iX + 3ixX + 9xX + -4x2 + 4x2 + x2X = 80 + 120i + 39ix + 3ix2 + 45i2 + 9i2x + 36x + 4x2

Combine like terms: -4x2 + 4x2 = 0
20X + 15iX + 3ixX + 9xX + 0 + x2X = 80 + 120i + 39ix + 3ix2 + 45i2 + 9i2x + 36x + 4x2
20X + 15iX + 3ixX + 9xX + x2X = 80 + 120i + 39ix + 3ix2 + 45i2 + 9i2x + 36x + 4x2

Reorder the terms:
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + 120i + 39ix + 3ix2 + 45i2 + 9i2x + 36x + 4x2 + -80 + -120i + -39ix + -3ix2 + -45i2 + -9i2x + -36x + -4x2

Reorder the terms:
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 80 + -80 + 120i + -120i + 39ix + -39ix + 3ix2 + -3ix2 + 45i2 + -45i2 + 9i2x + -9i2x + 36x + -36x + 4x2 + -4x2

Combine like terms: 80 + -80 = 0
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 0 + 120i + -120i + 39ix + -39ix + 3ix2 + -3ix2 + 45i2 + -45i2 + 9i2x + -9i2x + 36x + -36x + 4x2 + -4x2
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 120i + -120i + 39ix + -39ix + 3ix2 + -3ix2 + 45i2 + -45i2 + 9i2x + -9i2x + 36x + -36x + 4x2 + -4x2

Combine like terms: 120i + -120i = 0
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 0 + 39ix + -39ix + 3ix2 + -3ix2 + 45i2 + -45i2 + 9i2x + -9i2x + 36x + -36x + 4x2 + -4x2
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 39ix + -39ix + 3ix2 + -3ix2 + 45i2 + -45i2 + 9i2x + -9i2x + 36x + -36x + 4x2 + -4x2

Combine like terms: 39ix + -39ix = 0
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 0 + 3ix2 + -3ix2 + 45i2 + -45i2 + 9i2x + -9i2x + 36x + -36x + 4x2 + -4x2
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 3ix2 + -3ix2 + 45i2 + -45i2 + 9i2x + -9i2x + 36x + -36x + 4x2 + -4x2

Combine like terms: 3ix2 + -3ix2 = 0
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 0 + 45i2 + -45i2 + 9i2x + -9i2x + 36x + -36x + 4x2 + -4x2
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 45i2 + -45i2 + 9i2x + -9i2x + 36x + -36x + 4x2 + -4x2

Combine like terms: 45i2 + -45i2 = 0
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 0 + 9i2x + -9i2x + 36x + -36x + 4x2 + -4x2
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 9i2x + -9i2x + 36x + -36x + 4x2 + -4x2

Combine like terms: 9i2x + -9i2x = 0
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 0 + 36x + -36x + 4x2 + -4x2
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 36x + -36x + 4x2 + -4x2

Combine like terms: 36x + -36x = 0
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 0 + 4x2 + -4x2
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-80 + 20X + -120i + 15iX + -39ix + 3ixX + -3ix2 + -45i2 + -9i2x + -36x + 9xX + -4x2 + x2X = 0

The solution to this equation could not be determined.

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