(x-5)(x+(8+i))(x+(8-i))=

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Solution for (x-5)(x+(8+i))(x+(8-i))= equation: 


Simplifying
(x + -5)(x + (8 + i))(x + (8 + -1i)) = 0

Reorder the terms:
(-5 + x)(x + (8 + i))(x + (8 + -1i)) = 0

Remove parenthesis around (8 + i)
(-5 + x)(x + 8 + i)(x + (8 + -1i)) = 0

Reorder the terms:
(-5 + x)(8 + i + x)(x + (8 + -1i)) = 0

Remove parenthesis around (8 + -1i)
(-5 + x)(8 + i + x)(x + 8 + -1i) = 0

Reorder the terms:
(-5 + x)(8 + i + x)(8 + -1i + x) = 0

Multiply (-5 + x) * (8 + i + x)
(-5(8 + i + x) + x(8 + i + x))(8 + -1i + x) = 0
((8 * -5 + i * -5 + x * -5) + x(8 + i + x))(8 + -1i + x) = 0
((-40 + -5i + -5x) + x(8 + i + x))(8 + -1i + x) = 0
(-40 + -5i + -5x + (8 * x + i * x + x * x))(8 + -1i + x) = 0

Reorder the terms:
(-40 + -5i + -5x + (ix + 8x + x2))(8 + -1i + x) = 0
(-40 + -5i + -5x + (ix + 8x + x2))(8 + -1i + x) = 0

Reorder the terms:
(-40 + -5i + ix + -5x + 8x + x2)(8 + -1i + x) = 0

Combine like terms: -5x + 8x = 3x
(-40 + -5i + ix + 3x + x2)(8 + -1i + x) = 0

Multiply (-40 + -5i + ix + 3x + x2) * (8 + -1i + x)
(-40(8 + -1i + x) + -5i * (8 + -1i + x) + ix(8 + -1i + x) + 3x * (8 + -1i + x) + x2(8 + -1i + x)) = 0
((8 * -40 + -1i * -40 + x * -40) + -5i * (8 + -1i + x) + ix(8 + -1i + x) + 3x * (8 + -1i + x) + x2(8 + -1i + x)) = 0
((-320 + 40i + -40x) + -5i * (8 + -1i + x) + ix(8 + -1i + x) + 3x * (8 + -1i + x) + x2(8 + -1i + x)) = 0
(-320 + 40i + -40x + (8 * -5i + -1i * -5i + x * -5i) + ix(8 + -1i + x) + 3x * (8 + -1i + x) + x2(8 + -1i + x)) = 0

Reorder the terms:
(-320 + 40i + -40x + (-40i + -5ix + 5i2) + ix(8 + -1i + x) + 3x * (8 + -1i + x) + x2(8 + -1i + x)) = 0
(-320 + 40i + -40x + (-40i + -5ix + 5i2) + ix(8 + -1i + x) + 3x * (8 + -1i + x) + x2(8 + -1i + x)) = 0
(-320 + 40i + -40x + -40i + -5ix + 5i2 + (8 * ix + -1i * ix + x * ix) + 3x * (8 + -1i + x) + x2(8 + -1i + x)) = 0

Reorder the terms:
(-320 + 40i + -40x + -40i + -5ix + 5i2 + (8ix + ix2 + -1i2x) + 3x * (8 + -1i + x) + x2(8 + -1i + x)) = 0
(-320 + 40i + -40x + -40i + -5ix + 5i2 + (8ix + ix2 + -1i2x) + 3x * (8 + -1i + x) + x2(8 + -1i + x)) = 0
(-320 + 40i + -40x + -40i + -5ix + 5i2 + 8ix + ix2 + -1i2x + (8 * 3x + -1i * 3x + x * 3x) + x2(8 + -1i + x)) = 0

Reorder the terms:
(-320 + 40i + -40x + -40i + -5ix + 5i2 + 8ix + ix2 + -1i2x + (-3ix + 24x + 3x2) + x2(8 + -1i + x)) = 0
(-320 + 40i + -40x + -40i + -5ix + 5i2 + 8ix + ix2 + -1i2x + (-3ix + 24x + 3x2) + x2(8 + -1i + x)) = 0
(-320 + 40i + -40x + -40i + -5ix + 5i2 + 8ix + ix2 + -1i2x + -3ix + 24x + 3x2 + (8 * x2 + -1i * x2 + x * x2)) = 0

Reorder the terms:
(-320 + 40i + -40x + -40i + -5ix + 5i2 + 8ix + ix2 + -1i2x + -3ix + 24x + 3x2 + (-1ix2 + 8x2 + x3)) = 0
(-320 + 40i + -40x + -40i + -5ix + 5i2 + 8ix + ix2 + -1i2x + -3ix + 24x + 3x2 + (-1ix2 + 8x2 + x3)) = 0

Reorder the terms:
(-320 + 40i + -40i + -5ix + 8ix + -3ix + ix2 + -1ix2 + 5i2 + -1i2x + -40x + 24x + 3x2 + 8x2 + x3) = 0

Combine like terms: 40i + -40i = 0
(-320 + 0 + -5ix + 8ix + -3ix + ix2 + -1ix2 + 5i2 + -1i2x + -40x + 24x + 3x2 + 8x2 + x3) = 0
(-320 + -5ix + 8ix + -3ix + ix2 + -1ix2 + 5i2 + -1i2x + -40x + 24x + 3x2 + 8x2 + x3) = 0

Combine like terms: -5ix + 8ix = 3ix
(-320 + 3ix + -3ix + ix2 + -1ix2 + 5i2 + -1i2x + -40x + 24x + 3x2 + 8x2 + x3) = 0

Combine like terms: 3ix + -3ix = 0
(-320 + 0 + ix2 + -1ix2 + 5i2 + -1i2x + -40x + 24x + 3x2 + 8x2 + x3) = 0
(-320 + ix2 + -1ix2 + 5i2 + -1i2x + -40x + 24x + 3x2 + 8x2 + x3) = 0

Combine like terms: ix2 + -1ix2 = 0
(-320 + 0 + 5i2 + -1i2x + -40x + 24x + 3x2 + 8x2 + x3) = 0
(-320 + 5i2 + -1i2x + -40x + 24x + 3x2 + 8x2 + x3) = 0

Combine like terms: -40x + 24x = -16x
(-320 + 5i2 + -1i2x + -16x + 3x2 + 8x2 + x3) = 0

Combine like terms: 3x2 + 8x2 = 11x2
(-320 + 5i2 + -1i2x + -16x + 11x2 + x3) = 0

Solving
-320 + 5i2 + -1i2x + -16x + 11x2 + x3 = 0

Solving for variable 'i'.

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

Add '320' to each side of the equation.
-320 + 5i2 + -1i2x + -16x + 11x2 + 320 + x3 = 0 + 320

Reorder the terms:
-320 + 320 + 5i2 + -1i2x + -16x + 11x2 + x3 = 0 + 320

Combine like terms: -320 + 320 = 0
0 + 5i2 + -1i2x + -16x + 11x2 + x3 = 0 + 320
5i2 + -1i2x + -16x + 11x2 + x3 = 0 + 320

Combine like terms: 0 + 320 = 320
5i2 + -1i2x + -16x + 11x2 + x3 = 320

Add '16x' to each side of the equation.
5i2 + -1i2x + -16x + 11x2 + 16x + x3 = 320 + 16x

Reorder the terms:
5i2 + -1i2x + -16x + 16x + 11x2 + x3 = 320 + 16x

Combine like terms: -16x + 16x = 0
5i2 + -1i2x + 0 + 11x2 + x3 = 320 + 16x
5i2 + -1i2x + 11x2 + x3 = 320 + 16x

Add '-11x2' to each side of the equation.
5i2 + -1i2x + 11x2 + -11x2 + x3 = 320 + 16x + -11x2

Combine like terms: 11x2 + -11x2 = 0
5i2 + -1i2x + 0 + x3 = 320 + 16x + -11x2
5i2 + -1i2x + x3 = 320 + 16x + -11x2

Add '-1x3' to each side of the equation.
5i2 + -1i2x + x3 + -1x3 = 320 + 16x + -11x2 + -1x3

Combine like terms: x3 + -1x3 = 0
5i2 + -1i2x + 0 = 320 + 16x + -11x2 + -1x3
5i2 + -1i2x = 320 + 16x + -11x2 + -1x3

Reorder the terms:
-320 + 5i2 + -1i2x + -16x + 11x2 + x3 = 320 + 16x + -11x2 + -1x3 + -320 + -16x + 11x2 + x3

Reorder the terms:
-320 + 5i2 + -1i2x + -16x + 11x2 + x3 = 320 + -320 + 16x + -16x + -11x2 + 11x2 + -1x3 + x3

Combine like terms: 320 + -320 = 0
-320 + 5i2 + -1i2x + -16x + 11x2 + x3 = 0 + 16x + -16x + -11x2 + 11x2 + -1x3 + x3
-320 + 5i2 + -1i2x + -16x + 11x2 + x3 = 16x + -16x + -11x2 + 11x2 + -1x3 + x3

Combine like terms: 16x + -16x = 0
-320 + 5i2 + -1i2x + -16x + 11x2 + x3 = 0 + -11x2 + 11x2 + -1x3 + x3
-320 + 5i2 + -1i2x + -16x + 11x2 + x3 = -11x2 + 11x2 + -1x3 + x3

Combine like terms: -11x2 + 11x2 = 0
-320 + 5i2 + -1i2x + -16x + 11x2 + x3 = 0 + -1x3 + x3
-320 + 5i2 + -1i2x + -16x + 11x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-320 + 5i2 + -1i2x + -16x + 11x2 + x3 = 0

The solution to this equation could not be determined.

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