3(x+7)((x+(5-i)))((x-(-5+i)))=0

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Solution for 3(x+7)((x+(5-i)))((x-(-5+i)))=0 equation: 


Simplifying
3(x + 7)(x + (5 + -1i))(x + -1(-5 + i)) = 0

Reorder the terms:
3(7 + x)(x + (5 + -1i))(x + -1(-5 + i)) = 0

Remove parenthesis around (5 + -1i)
3(7 + x)(x + 5 + -1i)(x + -1(-5 + i)) = 0

Reorder the terms:
3(7 + x)(5 + -1i + x)(x + -1(-5 + i)) = 0
3(7 + x)(5 + -1i + x)(x + (-5 * -1 + i * -1)) = 0
3(7 + x)(5 + -1i + x)(x + (5 + -1i)) = 0

Reorder the terms:
3(7 + x)(5 + -1i + x)(5 + -1i + x) = 0

Multiply (7 + x) * (5 + -1i + x)
3(7(5 + -1i + x) + x(5 + -1i + x))(5 + -1i + x) = 0
3((5 * 7 + -1i * 7 + x * 7) + x(5 + -1i + x))(5 + -1i + x) = 0
3((35 + -7i + 7x) + x(5 + -1i + x))(5 + -1i + x) = 0
3(35 + -7i + 7x + (5 * x + -1i * x + x * x))(5 + -1i + x) = 0

Reorder the terms:
3(35 + -7i + 7x + (-1ix + 5x + x2))(5 + -1i + x) = 0
3(35 + -7i + 7x + (-1ix + 5x + x2))(5 + -1i + x) = 0

Reorder the terms:
3(35 + -7i + -1ix + 7x + 5x + x2)(5 + -1i + x) = 0

Combine like terms: 7x + 5x = 12x
3(35 + -7i + -1ix + 12x + x2)(5 + -1i + x) = 0

Multiply (35 + -7i + -1ix + 12x + x2) * (5 + -1i + x)
3(35(5 + -1i + x) + -7i * (5 + -1i + x) + -1ix * (5 + -1i + x) + 12x * (5 + -1i + x) + x2(5 + -1i + x)) = 0
3((5 * 35 + -1i * 35 + x * 35) + -7i * (5 + -1i + x) + -1ix * (5 + -1i + x) + 12x * (5 + -1i + x) + x2(5 + -1i + x)) = 0
3((175 + -35i + 35x) + -7i * (5 + -1i + x) + -1ix * (5 + -1i + x) + 12x * (5 + -1i + x) + x2(5 + -1i + x)) = 0
3(175 + -35i + 35x + (5 * -7i + -1i * -7i + x * -7i) + -1ix * (5 + -1i + x) + 12x * (5 + -1i + x) + x2(5 + -1i + x)) = 0

Reorder the terms:
3(175 + -35i + 35x + (-35i + -7ix + 7i2) + -1ix * (5 + -1i + x) + 12x * (5 + -1i + x) + x2(5 + -1i + x)) = 0
3(175 + -35i + 35x + (-35i + -7ix + 7i2) + -1ix * (5 + -1i + x) + 12x * (5 + -1i + x) + x2(5 + -1i + x)) = 0
3(175 + -35i + 35x + -35i + -7ix + 7i2 + (5 * -1ix + -1i * -1ix + x * -1ix) + 12x * (5 + -1i + x) + x2(5 + -1i + x)) = 0

Reorder the terms:
3(175 + -35i + 35x + -35i + -7ix + 7i2 + (-5ix + -1ix2 + 1i2x) + 12x * (5 + -1i + x) + x2(5 + -1i + x)) = 0
3(175 + -35i + 35x + -35i + -7ix + 7i2 + (-5ix + -1ix2 + 1i2x) + 12x * (5 + -1i + x) + x2(5 + -1i + x)) = 0
3(175 + -35i + 35x + -35i + -7ix + 7i2 + -5ix + -1ix2 + 1i2x + (5 * 12x + -1i * 12x + x * 12x) + x2(5 + -1i + x)) = 0

Reorder the terms:
3(175 + -35i + 35x + -35i + -7ix + 7i2 + -5ix + -1ix2 + 1i2x + (-12ix + 60x + 12x2) + x2(5 + -1i + x)) = 0
3(175 + -35i + 35x + -35i + -7ix + 7i2 + -5ix + -1ix2 + 1i2x + (-12ix + 60x + 12x2) + x2(5 + -1i + x)) = 0
3(175 + -35i + 35x + -35i + -7ix + 7i2 + -5ix + -1ix2 + 1i2x + -12ix + 60x + 12x2 + (5 * x2 + -1i * x2 + x * x2)) = 0

Reorder the terms:
3(175 + -35i + 35x + -35i + -7ix + 7i2 + -5ix + -1ix2 + 1i2x + -12ix + 60x + 12x2 + (-1ix2 + 5x2 + x3)) = 0
3(175 + -35i + 35x + -35i + -7ix + 7i2 + -5ix + -1ix2 + 1i2x + -12ix + 60x + 12x2 + (-1ix2 + 5x2 + x3)) = 0

Reorder the terms:
3(175 + -35i + -35i + -7ix + -5ix + -12ix + -1ix2 + -1ix2 + 7i2 + 1i2x + 35x + 60x + 12x2 + 5x2 + x3) = 0

Combine like terms: -35i + -35i = -70i
3(175 + -70i + -7ix + -5ix + -12ix + -1ix2 + -1ix2 + 7i2 + 1i2x + 35x + 60x + 12x2 + 5x2 + x3) = 0

Combine like terms: -7ix + -5ix = -12ix
3(175 + -70i + -12ix + -12ix + -1ix2 + -1ix2 + 7i2 + 1i2x + 35x + 60x + 12x2 + 5x2 + x3) = 0

Combine like terms: -12ix + -12ix = -24ix
3(175 + -70i + -24ix + -1ix2 + -1ix2 + 7i2 + 1i2x + 35x + 60x + 12x2 + 5x2 + x3) = 0

Combine like terms: -1ix2 + -1ix2 = -2ix2
3(175 + -70i + -24ix + -2ix2 + 7i2 + 1i2x + 35x + 60x + 12x2 + 5x2 + x3) = 0

Combine like terms: 35x + 60x = 95x
3(175 + -70i + -24ix + -2ix2 + 7i2 + 1i2x + 95x + 12x2 + 5x2 + x3) = 0

Combine like terms: 12x2 + 5x2 = 17x2
3(175 + -70i + -24ix + -2ix2 + 7i2 + 1i2x + 95x + 17x2 + x3) = 0
(175 * 3 + -70i * 3 + -24ix * 3 + -2ix2 * 3 + 7i2 * 3 + 1i2x * 3 + 95x * 3 + 17x2 * 3 + x3 * 3) = 0
(525 + -210i + -72ix + -6ix2 + 21i2 + 3i2x + 285x + 51x2 + 3x3) = 0

Solving
525 + -210i + -72ix + -6ix2 + 21i2 + 3i2x + 285x + 51x2 + 3x3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3'.
3(175 + -70i + -24ix + -2ix2 + 7i2 + i2x + 95x + 17x2 + x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(175 + -70i + -24ix + -2ix2 + 7i2 + i2x + 95x + 17x2 + x3)' equal to zero and attempt to solve:

Simplifying
175 + -70i + -24ix + -2ix2 + 7i2 + i2x + 95x + 17x2 + x3 = 0

Solving
175 + -70i + -24ix + -2ix2 + 7i2 + i2x + 95x + 17x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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