(7-x)(-11-x)(2+6i-x)(2-6i-x)=

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Solution for (7-x)(-11-x)(2+6i-x)(2-6i-x)= equation:


Simplifying
(7 + -1x)(-11 + -1x)(2 + 6i + -1x)(2 + -6i + -1x) = 0

Multiply (7 + -1x) * (-11 + -1x)
(7(-11 + -1x) + -1x * (-11 + -1x))(2 + 6i + -1x)(2 + -6i + -1x) = 0
((-11 * 7 + -1x * 7) + -1x * (-11 + -1x))(2 + 6i + -1x)(2 + -6i + -1x) = 0
((-77 + -7x) + -1x * (-11 + -1x))(2 + 6i + -1x)(2 + -6i + -1x) = 0
(-77 + -7x + (-11 * -1x + -1x * -1x))(2 + 6i + -1x)(2 + -6i + -1x) = 0
(-77 + -7x + (11x + 1x2))(2 + 6i + -1x)(2 + -6i + -1x) = 0

Combine like terms: -7x + 11x = 4x
(-77 + 4x + 1x2)(2 + 6i + -1x)(2 + -6i + -1x) = 0

Multiply (-77 + 4x + 1x2) * (2 + 6i + -1x)
(-77(2 + 6i + -1x) + 4x * (2 + 6i + -1x) + 1x2 * (2 + 6i + -1x))(2 + -6i + -1x) = 0
((2 * -77 + 6i * -77 + -1x * -77) + 4x * (2 + 6i + -1x) + 1x2 * (2 + 6i + -1x))(2 + -6i + -1x) = 0
((-154 + -462i + 77x) + 4x * (2 + 6i + -1x) + 1x2 * (2 + 6i + -1x))(2 + -6i + -1x) = 0
(-154 + -462i + 77x + (2 * 4x + 6i * 4x + -1x * 4x) + 1x2 * (2 + 6i + -1x))(2 + -6i + -1x) = 0

Reorder the terms:
(-154 + -462i + 77x + (24ix + 8x + -4x2) + 1x2 * (2 + 6i + -1x))(2 + -6i + -1x) = 0
(-154 + -462i + 77x + (24ix + 8x + -4x2) + 1x2 * (2 + 6i + -1x))(2 + -6i + -1x) = 0
(-154 + -462i + 77x + 24ix + 8x + -4x2 + (2 * 1x2 + 6i * 1x2 + -1x * 1x2))(2 + -6i + -1x) = 0

Reorder the terms:
(-154 + -462i + 77x + 24ix + 8x + -4x2 + (6ix2 + 2x2 + -1x3))(2 + -6i + -1x) = 0
(-154 + -462i + 77x + 24ix + 8x + -4x2 + (6ix2 + 2x2 + -1x3))(2 + -6i + -1x) = 0

Reorder the terms:
(-154 + -462i + 24ix + 6ix2 + 77x + 8x + -4x2 + 2x2 + -1x3)(2 + -6i + -1x) = 0

Combine like terms: 77x + 8x = 85x
(-154 + -462i + 24ix + 6ix2 + 85x + -4x2 + 2x2 + -1x3)(2 + -6i + -1x) = 0

Combine like terms: -4x2 + 2x2 = -2x2
(-154 + -462i + 24ix + 6ix2 + 85x + -2x2 + -1x3)(2 + -6i + -1x) = 0

Multiply (-154 + -462i + 24ix + 6ix2 + 85x + -2x2 + -1x3) * (2 + -6i + -1x)
(-154(2 + -6i + -1x) + -462i * (2 + -6i + -1x) + 24ix * (2 + -6i + -1x) + 6ix2 * (2 + -6i + -1x) + 85x * (2 + -6i + -1x) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0
((2 * -154 + -6i * -154 + -1x * -154) + -462i * (2 + -6i + -1x) + 24ix * (2 + -6i + -1x) + 6ix2 * (2 + -6i + -1x) + 85x * (2 + -6i + -1x) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0
((-308 + 924i + 154x) + -462i * (2 + -6i + -1x) + 24ix * (2 + -6i + -1x) + 6ix2 * (2 + -6i + -1x) + 85x * (2 + -6i + -1x) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0
(-308 + 924i + 154x + (2 * -462i + -6i * -462i + -1x * -462i) + 24ix * (2 + -6i + -1x) + 6ix2 * (2 + -6i + -1x) + 85x * (2 + -6i + -1x) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0

Reorder the terms:
(-308 + 924i + 154x + (-924i + 462ix + 2772i2) + 24ix * (2 + -6i + -1x) + 6ix2 * (2 + -6i + -1x) + 85x * (2 + -6i + -1x) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0
(-308 + 924i + 154x + (-924i + 462ix + 2772i2) + 24ix * (2 + -6i + -1x) + 6ix2 * (2 + -6i + -1x) + 85x * (2 + -6i + -1x) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + (2 * 24ix + -6i * 24ix + -1x * 24ix) + 6ix2 * (2 + -6i + -1x) + 85x * (2 + -6i + -1x) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0

Reorder the terms:
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + (48ix + -24ix2 + -144i2x) + 6ix2 * (2 + -6i + -1x) + 85x * (2 + -6i + -1x) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + (48ix + -24ix2 + -144i2x) + 6ix2 * (2 + -6i + -1x) + 85x * (2 + -6i + -1x) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + 48ix + -24ix2 + -144i2x + (2 * 6ix2 + -6i * 6ix2 + -1x * 6ix2) + 85x * (2 + -6i + -1x) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0

Reorder the terms:
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + 48ix + -24ix2 + -144i2x + (12ix2 + -6ix3 + -36i2x2) + 85x * (2 + -6i + -1x) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + 48ix + -24ix2 + -144i2x + (12ix2 + -6ix3 + -36i2x2) + 85x * (2 + -6i + -1x) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + 48ix + -24ix2 + -144i2x + 12ix2 + -6ix3 + -36i2x2 + (2 * 85x + -6i * 85x + -1x * 85x) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0

Reorder the terms:
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + 48ix + -24ix2 + -144i2x + 12ix2 + -6ix3 + -36i2x2 + (-510ix + 170x + -85x2) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + 48ix + -24ix2 + -144i2x + 12ix2 + -6ix3 + -36i2x2 + (-510ix + 170x + -85x2) + -2x2 * (2 + -6i + -1x) + -1x3 * (2 + -6i + -1x)) = 0
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + 48ix + -24ix2 + -144i2x + 12ix2 + -6ix3 + -36i2x2 + -510ix + 170x + -85x2 + (2 * -2x2 + -6i * -2x2 + -1x * -2x2) + -1x3 * (2 + -6i + -1x)) = 0

Reorder the terms:
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + 48ix + -24ix2 + -144i2x + 12ix2 + -6ix3 + -36i2x2 + -510ix + 170x + -85x2 + (12ix2 + -4x2 + 2x3) + -1x3 * (2 + -6i + -1x)) = 0
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + 48ix + -24ix2 + -144i2x + 12ix2 + -6ix3 + -36i2x2 + -510ix + 170x + -85x2 + (12ix2 + -4x2 + 2x3) + -1x3 * (2 + -6i + -1x)) = 0
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + 48ix + -24ix2 + -144i2x + 12ix2 + -6ix3 + -36i2x2 + -510ix + 170x + -85x2 + 12ix2 + -4x2 + 2x3 + (2 * -1x3 + -6i * -1x3 + -1x * -1x3)) = 0

Reorder the terms:
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + 48ix + -24ix2 + -144i2x + 12ix2 + -6ix3 + -36i2x2 + -510ix + 170x + -85x2 + 12ix2 + -4x2 + 2x3 + (6ix3 + -2x3 + 1x4)) = 0
(-308 + 924i + 154x + -924i + 462ix + 2772i2 + 48ix + -24ix2 + -144i2x + 12ix2 + -6ix3 + -36i2x2 + -510ix + 170x + -85x2 + 12ix2 + -4x2 + 2x3 + (6ix3 + -2x3 + 1x4)) = 0

Reorder the terms:
(-308 + 924i + -924i + 462ix + 48ix + -510ix + -24ix2 + 12ix2 + 12ix2 + -6ix3 + 6ix3 + 2772i2 + -144i2x + -36i2x2 + 154x + 170x + -85x2 + -4x2 + 2x3 + -2x3 + 1x4) = 0

Combine like terms: 924i + -924i = 0
(-308 + 0 + 462ix + 48ix + -510ix + -24ix2 + 12ix2 + 12ix2 + -6ix3 + 6ix3 + 2772i2 + -144i2x + -36i2x2 + 154x + 170x + -85x2 + -4x2 + 2x3 + -2x3 + 1x4) = 0
(-308 + 462ix + 48ix + -510ix + -24ix2 + 12ix2 + 12ix2 + -6ix3 + 6ix3 + 2772i2 + -144i2x + -36i2x2 + 154x + 170x + -85x2 + -4x2 + 2x3 + -2x3 + 1x4) = 0

Combine like terms: 462ix + 48ix = 510ix
(-308 + 510ix + -510ix + -24ix2 + 12ix2 + 12ix2 + -6ix3 + 6ix3 + 2772i2 + -144i2x + -36i2x2 + 154x + 170x + -85x2 + -4x2 + 2x3 + -2x3 + 1x4) = 0

Combine like terms: 510ix + -510ix = 0
(-308 + 0 + -24ix2 + 12ix2 + 12ix2 + -6ix3 + 6ix3 + 2772i2 + -144i2x + -36i2x2 + 154x + 170x + -85x2 + -4x2 + 2x3 + -2x3 + 1x4) = 0
(-308 + -24ix2 + 12ix2 + 12ix2 + -6ix3 + 6ix3 + 2772i2 + -144i2x + -36i2x2 + 154x + 170x + -85x2 + -4x2 + 2x3 + -2x3 + 1x4) = 0

Combine like terms: -24ix2 + 12ix2 = -12ix2
(-308 + -12ix2 + 12ix2 + -6ix3 + 6ix3 + 2772i2 + -144i2x + -36i2x2 + 154x + 170x + -85x2 + -4x2 + 2x3 + -2x3 + 1x4) = 0

Combine like terms: -12ix2 + 12ix2 = 0
(-308 + 0 + -6ix3 + 6ix3 + 2772i2 + -144i2x + -36i2x2 + 154x + 170x + -85x2 + -4x2 + 2x3 + -2x3 + 1x4) = 0
(-308 + -6ix3 + 6ix3 + 2772i2 + -144i2x + -36i2x2 + 154x + 170x + -85x2 + -4x2 + 2x3 + -2x3 + 1x4) = 0

Combine like terms: -6ix3 + 6ix3 = 0
(-308 + 0 + 2772i2 + -144i2x + -36i2x2 + 154x + 170x + -85x2 + -4x2 + 2x3 + -2x3 + 1x4) = 0
(-308 + 2772i2 + -144i2x + -36i2x2 + 154x + 170x + -85x2 + -4x2 + 2x3 + -2x3 + 1x4) = 0

Combine like terms: 154x + 170x = 324x
(-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -85x2 + -4x2 + 2x3 + -2x3 + 1x4) = 0

Combine like terms: -85x2 + -4x2 = -89x2
(-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + 2x3 + -2x3 + 1x4) = 0

Combine like terms: 2x3 + -2x3 = 0
(-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + 0 + 1x4) = 0
(-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + 1x4) = 0

Solving
-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + 1x4 = 0

Solving for variable 'i'.

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

Add '308' to each side of the equation.
-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + 308 + 1x4 = 0 + 308

Reorder the terms:
-308 + 308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + 1x4 = 0 + 308

Combine like terms: -308 + 308 = 0
0 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + 1x4 = 0 + 308
2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + 1x4 = 0 + 308

Combine like terms: 0 + 308 = 308
2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + 1x4 = 308

Add '-324x' to each side of the equation.
2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + -324x + 1x4 = 308 + -324x

Reorder the terms:
2772i2 + -144i2x + -36i2x2 + 324x + -324x + -89x2 + 1x4 = 308 + -324x

Combine like terms: 324x + -324x = 0
2772i2 + -144i2x + -36i2x2 + 0 + -89x2 + 1x4 = 308 + -324x
2772i2 + -144i2x + -36i2x2 + -89x2 + 1x4 = 308 + -324x

Add '89x2' to each side of the equation.
2772i2 + -144i2x + -36i2x2 + -89x2 + 89x2 + 1x4 = 308 + -324x + 89x2

Combine like terms: -89x2 + 89x2 = 0
2772i2 + -144i2x + -36i2x2 + 0 + 1x4 = 308 + -324x + 89x2
2772i2 + -144i2x + -36i2x2 + 1x4 = 308 + -324x + 89x2

Add '-1x4' to each side of the equation.
2772i2 + -144i2x + -36i2x2 + 1x4 + -1x4 = 308 + -324x + 89x2 + -1x4

Combine like terms: 1x4 + -1x4 = 0
2772i2 + -144i2x + -36i2x2 + 0 = 308 + -324x + 89x2 + -1x4
2772i2 + -144i2x + -36i2x2 = 308 + -324x + 89x2 + -1x4

Reorder the terms:
-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + x4 = 308 + -324x + 89x2 + -1x4 + -308 + 324x + -89x2 + x4

Reorder the terms:
-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + x4 = 308 + -308 + -324x + 324x + 89x2 + -89x2 + -1x4 + x4

Combine like terms: 308 + -308 = 0
-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + x4 = 0 + -324x + 324x + 89x2 + -89x2 + -1x4 + x4
-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + x4 = -324x + 324x + 89x2 + -89x2 + -1x4 + x4

Combine like terms: -324x + 324x = 0
-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + x4 = 0 + 89x2 + -89x2 + -1x4 + x4
-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + x4 = 89x2 + -89x2 + -1x4 + x4

Combine like terms: 89x2 + -89x2 = 0
-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + x4 = 0 + -1x4 + x4
-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-308 + 2772i2 + -144i2x + -36i2x2 + 324x + -89x2 + x4 = 0

The solution to this equation could not be determined.

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