[x-(9+6i)][x-(9-6i)]=y

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Solution for [x-(9+6i)][x-(9-6i)]=y equation: 


Simplifying
[x + -1(9 + 6i)][x + -1(9 + -6i)] = y
[x + (9 * -1 + 6i * -1)][x + -1(9 + -6i)] = y
[x + (-9 + -6i)][x + -1(9 + -6i)] = y

Reorder the terms:
[-9 + -6i + x][x + -1(9 + -6i)] = y
[-9 + -6i + x][x + (9 * -1 + -6i * -1)] = y
[-9 + -6i + x][x + (-9 + 6i)] = y

Reorder the terms:
[-9 + -6i + x][-9 + 6i + x] = y

Multiply [-9 + -6i + x] * [-9 + 6i + x]
[-9[-9 + 6i + x] + -6i * [-9 + 6i + x] + x[-9 + 6i + x]] = y
[[-9 * -9 + 6i * -9 + x * -9] + -6i * [-9 + 6i + x] + x[-9 + 6i + x]] = y
[[81 + -54i + -9x] + -6i * [-9 + 6i + x] + x[-9 + 6i + x]] = y
[81 + -54i + -9x + [-9 * -6i + 6i * -6i + x * -6i] + x[-9 + 6i + x]] = y

Reorder the terms:
[81 + -54i + -9x + [54i + -6ix + -36i2] + x[-9 + 6i + x]] = y
[81 + -54i + -9x + [54i + -6ix + -36i2] + x[-9 + 6i + x]] = y
[81 + -54i + -9x + 54i + -6ix + -36i2 + [-9 * x + 6i * x + x * x]] = y

Reorder the terms:
[81 + -54i + -9x + 54i + -6ix + -36i2 + [6ix + -9x + x2]] = y
[81 + -54i + -9x + 54i + -6ix + -36i2 + [6ix + -9x + x2]] = y

Reorder the terms:
[81 + -54i + 54i + -6ix + 6ix + -36i2 + -9x + -9x + x2] = y

Combine like terms: -54i + 54i = 0
[81 + 0 + -6ix + 6ix + -36i2 + -9x + -9x + x2] = y
[81 + -6ix + 6ix + -36i2 + -9x + -9x + x2] = y

Combine like terms: -6ix + 6ix = 0
[81 + 0 + -36i2 + -9x + -9x + x2] = y
[81 + -36i2 + -9x + -9x + x2] = y

Combine like terms: -9x + -9x = -18x
[81 + -36i2 + -18x + x2] = y

Solving
81 + -36i2 + -18x + x2 = y

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 + -36i2 + -18x + -81 + x2 = -81 + y

Reorder the terms:
81 + -81 + -36i2 + -18x + x2 = -81 + y

Combine like terms: 81 + -81 = 0
0 + -36i2 + -18x + x2 = -81 + y
-36i2 + -18x + x2 = -81 + y

Add '18x' to each side of the equation.
-36i2 + -18x + 18x + x2 = -81 + 18x + y

Combine like terms: -18x + 18x = 0
-36i2 + 0 + x2 = -81 + 18x + y
-36i2 + x2 = -81 + 18x + y

Add '-1x2' to each side of the equation.
-36i2 + x2 + -1x2 = -81 + 18x + -1x2 + y

Combine like terms: x2 + -1x2 = 0
-36i2 + 0 = -81 + 18x + -1x2 + y
-36i2 = -81 + 18x + -1x2 + y

Divide each side by '-36'.
i2 = 2.25 + -0.5x + 0.02777777778x2 + -0.02777777778y

Simplifying
i2 = 2.25 + -0.5x + 0.02777777778x2 + -0.02777777778y

Reorder the terms:
-2.25 + i2 + 0.5x + -0.02777777778x2 + 0.02777777778y = 2.25 + -0.5x + 0.02777777778x2 + -0.02777777778y + -2.25 + 0.5x + -0.02777777778x2 + 0.02777777778y

Reorder the terms:
-2.25 + i2 + 0.5x + -0.02777777778x2 + 0.02777777778y = 2.25 + -2.25 + -0.5x + 0.5x + 0.02777777778x2 + -0.02777777778x2 + -0.02777777778y + 0.02777777778y

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + i2 + 0.5x + -0.02777777778x2 + 0.02777777778y = 0.00 + -0.5x + 0.5x + 0.02777777778x2 + -0.02777777778x2 + -0.02777777778y + 0.02777777778y
-2.25 + i2 + 0.5x + -0.02777777778x2 + 0.02777777778y = -0.5x + 0.5x + 0.02777777778x2 + -0.02777777778x2 + -0.02777777778y + 0.02777777778y

Combine like terms: -0.5x + 0.5x = 0.0
-2.25 + i2 + 0.5x + -0.02777777778x2 + 0.02777777778y = 0.0 + 0.02777777778x2 + -0.02777777778x2 + -0.02777777778y + 0.02777777778y
-2.25 + i2 + 0.5x + -0.02777777778x2 + 0.02777777778y = 0.02777777778x2 + -0.02777777778x2 + -0.02777777778y + 0.02777777778y

Combine like terms: 0.02777777778x2 + -0.02777777778x2 = 0.00000000000
-2.25 + i2 + 0.5x + -0.02777777778x2 + 0.02777777778y = 0.00000000000 + -0.02777777778y + 0.02777777778y
-2.25 + i2 + 0.5x + -0.02777777778x2 + 0.02777777778y = -0.02777777778y + 0.02777777778y

Combine like terms: -0.02777777778y + 0.02777777778y = 0.00000000000
-2.25 + i2 + 0.5x + -0.02777777778x2 + 0.02777777778y = 0.00000000000

The solution to this equation could not be determined.

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