x^2-(2x+3i)(x+1+3i)=0

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Solution for x^2-(2x+3i)(x+1+3i)=0 equation: 


Simplifying
x2 + -1(2x + 3i)(x + 1 + 3i) = 0

Reorder the terms:
x2 + -1(3i + 2x)(x + 1 + 3i) = 0

Reorder the terms:
x2 + -1(3i + 2x)(1 + 3i + x) = 0

Multiply (3i + 2x) * (1 + 3i + x)
x2 + -1(3i * (1 + 3i + x) + 2x * (1 + 3i + x)) = 0
x2 + -1((1 * 3i + 3i * 3i + x * 3i) + 2x * (1 + 3i + x)) = 0

Reorder the terms:
x2 + -1((3i + 3ix + 9i2) + 2x * (1 + 3i + x)) = 0
x2 + -1((3i + 3ix + 9i2) + 2x * (1 + 3i + x)) = 0
x2 + -1(3i + 3ix + 9i2 + (1 * 2x + 3i * 2x + x * 2x)) = 0

Reorder the terms:
x2 + -1(3i + 3ix + 9i2 + (6ix + 2x + 2x2)) = 0
x2 + -1(3i + 3ix + 9i2 + (6ix + 2x + 2x2)) = 0

Reorder the terms:
x2 + -1(3i + 3ix + 6ix + 9i2 + 2x + 2x2) = 0

Combine like terms: 3ix + 6ix = 9ix
x2 + -1(3i + 9ix + 9i2 + 2x + 2x2) = 0
x2 + (3i * -1 + 9ix * -1 + 9i2 * -1 + 2x * -1 + 2x2 * -1) = 0
x2 + (-3i + -9ix + -9i2 + -2x + -2x2) = 0

Reorder the terms:
-3i + -9ix + -9i2 + -2x + x2 + -2x2 = 0

Combine like terms: x2 + -2x2 = -1x2
-3i + -9ix + -9i2 + -2x + -1x2 = 0

Solving
-3i + -9ix + -9i2 + -2x + -1x2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3i + 9ix + 9i2 + 2x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(3i + 9ix + 9i2 + 2x + x2)' equal to zero and attempt to solve:

Simplifying
3i + 9ix + 9i2 + 2x + x2 = 0

Solving
3i + 9ix + 9i2 + 2x + x2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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