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

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


Simplifying
[x + -1(9 + -1i)][x + -1(9 + i)] = 0
[x + (9 * -1 + -1i * -1)][x + -1(9 + i)] = 0
[x + (-9 + 1i)][x + -1(9 + i)] = 0

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

Reorder the terms:
[-9 + 1i + x][-9 + -1i + x] = 0

Multiply [-9 + 1i + x] * [-9 + -1i + x]
[-9[-9 + -1i + x] + 1i * [-9 + -1i + x] + x[-9 + -1i + x]] = 0
[[-9 * -9 + -1i * -9 + x * -9] + 1i * [-9 + -1i + x] + x[-9 + -1i + x]] = 0
[[81 + 9i + -9x] + 1i * [-9 + -1i + x] + x[-9 + -1i + x]] = 0
[81 + 9i + -9x + [-9 * 1i + -1i * 1i + x * 1i] + x[-9 + -1i + x]] = 0

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

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

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

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

Combine like terms: 1ix + -1ix = 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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