[x-(5-6i)][x-(5-6i)]=

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Solution for [x-(5-6i)][x-(5-6i)]= equation: 


Simplifying
[x + -1(5 + -6i)][x + -1(5 + -6i)] = 0
[x + (5 * -1 + -6i * -1)][x + -1(5 + -6i)] = 0
[x + (-5 + 6i)][x + -1(5 + -6i)] = 0

Reorder the terms:
[-5 + 6i + x][x + -1(5 + -6i)] = 0
[-5 + 6i + x][x + (5 * -1 + -6i * -1)] = 0
[-5 + 6i + x][x + (-5 + 6i)] = 0

Reorder the terms:
[-5 + 6i + x][-5 + 6i + x] = 0

Multiply [-5 + 6i + x] * [-5 + 6i + x]
[-5[-5 + 6i + x] + 6i * [-5 + 6i + x] + x[-5 + 6i + x]] = 0
[[-5 * -5 + 6i * -5 + x * -5] + 6i * [-5 + 6i + x] + x[-5 + 6i + x]] = 0
[[25 + -30i + -5x] + 6i * [-5 + 6i + x] + x[-5 + 6i + x]] = 0
[25 + -30i + -5x + [-5 * 6i + 6i * 6i + x * 6i] + x[-5 + 6i + x]] = 0

Reorder the terms:
[25 + -30i + -5x + [-30i + 6ix + 36i2] + x[-5 + 6i + x]] = 0
[25 + -30i + -5x + [-30i + 6ix + 36i2] + x[-5 + 6i + x]] = 0
[25 + -30i + -5x + -30i + 6ix + 36i2 + [-5 * x + 6i * x + x * x]] = 0

Reorder the terms:
[25 + -30i + -5x + -30i + 6ix + 36i2 + [6ix + -5x + x2]] = 0
[25 + -30i + -5x + -30i + 6ix + 36i2 + [6ix + -5x + x2]] = 0

Reorder the terms:
[25 + -30i + -30i + 6ix + 6ix + 36i2 + -5x + -5x + x2] = 0

Combine like terms: -30i + -30i = -60i
[25 + -60i + 6ix + 6ix + 36i2 + -5x + -5x + x2] = 0

Combine like terms: 6ix + 6ix = 12ix
[25 + -60i + 12ix + 36i2 + -5x + -5x + x2] = 0

Combine like terms: -5x + -5x = -10x
[25 + -60i + 12ix + 36i2 + -10x + x2] = 0

Solving
25 + -60i + 12ix + 36i2 + -10x + x2 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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