(x+9-i)(x+9+i)=0

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Solution for (x+9-i)(x+9+i)=0 equation: 


Simplifying
(x + 9 + -1i)(x + 9 + i) = 0

Reorder the terms:
(9 + -1i + x)(x + 9 + i) = 0

Reorder the terms:
(9 + -1i + x)(9 + i + x) = 0

Multiply (9 + -1i + x) * (9 + i + x)
(9(9 + i + x) + -1i * (9 + i + x) + x(9 + i + x)) = 0
((9 * 9 + i * 9 + x * 9) + -1i * (9 + i + x) + x(9 + i + x)) = 0
((81 + 9i + 9x) + -1i * (9 + i + x) + x(9 + i + x)) = 0
(81 + 9i + 9x + (9 * -1i + i * -1i + x * -1i) + x(9 + i + x)) = 0

Reorder the terms:
(81 + 9i + 9x + (-9i + -1ix + -1i2) + x(9 + i + x)) = 0
(81 + 9i + 9x + (-9i + -1ix + -1i2) + x(9 + i + x)) = 0
(81 + 9i + 9x + -9i + -1ix + -1i2 + (9 * x + i * x + x * x)) = 0

Reorder the terms:
(81 + 9i + 9x + -9i + -1ix + -1i2 + (ix + 9x + x2)) = 0
(81 + 9i + 9x + -9i + -1ix + -1i2 + (ix + 9x + x2)) = 0

Reorder the terms:
(81 + 9i + -9i + -1ix + ix + -1i2 + 9x + 9x + x2) = 0

Combine like terms: 9i + -9i = 0
(81 + 0 + -1ix + ix + -1i2 + 9x + 9x + x2) = 0
(81 + -1ix + ix + -1i2 + 9x + 9x + x2) = 0

Combine like terms: -1ix + ix = 0
(81 + 0 + -1i2 + 9x + 9x + x2) = 0
(81 + -1i2 + 9x + 9x + x2) = 0

Combine like terms: 9x + 9x = 18x
(81 + -1i2 + 18x + x2) = 0

Solving
81 + -1i2 + 18x + x2 = 0

Solving for variable 'i'.

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

Add '-81' to each side of the equation.
81 + -1i2 + 18x + -81 + x2 = 0 + -81

Reorder the terms:
81 + -81 + -1i2 + 18x + x2 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -1i2 + 18x + x2 = 0 + -81
-1i2 + 18x + x2 = 0 + -81

Combine like terms: 0 + -81 = -81
-1i2 + 18x + x2 = -81

Add '-18x' to each side of the equation.
-1i2 + 18x + -18x + x2 = -81 + -18x

Combine like terms: 18x + -18x = 0
-1i2 + 0 + x2 = -81 + -18x
-1i2 + x2 = -81 + -18x

Add '-1x2' to each side of the equation.
-1i2 + x2 + -1x2 = -81 + -18x + -1x2

Combine like terms: x2 + -1x2 = 0
-1i2 + 0 = -81 + -18x + -1x2
-1i2 = -81 + -18x + -1x2

Divide each side by '-1'.
i2 = 81 + 18x + x2

Simplifying
i2 = 81 + 18x + x2

Reorder the terms:
-81 + i2 + -18x + -1x2 = 81 + 18x + x2 + -81 + -18x + -1x2

Reorder the terms:
-81 + i2 + -18x + -1x2 = 81 + -81 + 18x + -18x + x2 + -1x2

Combine like terms: 81 + -81 = 0
-81 + i2 + -18x + -1x2 = 0 + 18x + -18x + x2 + -1x2
-81 + i2 + -18x + -1x2 = 18x + -18x + x2 + -1x2

Combine like terms: 18x + -18x = 0
-81 + i2 + -18x + -1x2 = 0 + x2 + -1x2
-81 + i2 + -18x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-81 + i2 + -18x + -1x2 = 0

The solution to this equation could not be determined.

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