[x-5+3i][x+5-3i]=0

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Solution for [x-5+3i][x+5-3i]=0 equation: 


Simplifying
[x + -5 + 3i][x + 5 + -3i] = 0

Reorder the terms:
[-5 + 3i + x][x + 5 + -3i] = 0

Reorder the terms:
[-5 + 3i + x][5 + -3i + x] = 0

Multiply [-5 + 3i + x] * [5 + -3i + x]
[-5[5 + -3i + x] + 3i * [5 + -3i + x] + x[5 + -3i + x]] = 0
[[5 * -5 + -3i * -5 + x * -5] + 3i * [5 + -3i + x] + x[5 + -3i + x]] = 0
[[-25 + 15i + -5x] + 3i * [5 + -3i + x] + x[5 + -3i + x]] = 0
[-25 + 15i + -5x + [5 * 3i + -3i * 3i + x * 3i] + x[5 + -3i + x]] = 0

Reorder the terms:
[-25 + 15i + -5x + [15i + 3ix + -9i2] + x[5 + -3i + x]] = 0
[-25 + 15i + -5x + [15i + 3ix + -9i2] + x[5 + -3i + x]] = 0
[-25 + 15i + -5x + 15i + 3ix + -9i2 + [5 * x + -3i * x + x * x]] = 0

Reorder the terms:
[-25 + 15i + -5x + 15i + 3ix + -9i2 + [-3ix + 5x + x2]] = 0
[-25 + 15i + -5x + 15i + 3ix + -9i2 + [-3ix + 5x + x2]] = 0

Reorder the terms:
[-25 + 15i + 15i + 3ix + -3ix + -9i2 + -5x + 5x + x2] = 0

Combine like terms: 15i + 15i = 30i
[-25 + 30i + 3ix + -3ix + -9i2 + -5x + 5x + x2] = 0

Combine like terms: 3ix + -3ix = 0
[-25 + 30i + 0 + -9i2 + -5x + 5x + x2] = 0
[-25 + 30i + -9i2 + -5x + 5x + x2] = 0

Combine like terms: -5x + 5x = 0
[-25 + 30i + -9i2 + 0 + x2] = 0
[-25 + 30i + -9i2 + x2] = 0

Solving
-25 + 30i + -9i2 + x2 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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