(x+(3+5i))(x(3-5i))=0

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Solution for (x+(3+5i))(x(3-5i))=0 equation: 


Simplifying
(x + (3 + 5i))(x(3 + -5i)) = 0

Remove parenthesis around (3 + 5i)
(x + 3 + 5i)(x(3 + -5i)) = 0

Reorder the terms:
(3 + 5i + x)(x(3 + -5i)) = 0
(3 + 5i + x)((3 * x + -5i * x)) = 0

Reorder the terms:
(3 + 5i + x)((-5ix + 3x)) = 0
(3 + 5i + x)((-5ix + 3x)) = 0

Multiply (3 + 5i + x) * (-5ix + 3x)
(3(-5ix + 3x) + 5i * (-5ix + 3x) + x(-5ix + 3x)) = 0
((-5ix * 3 + 3x * 3) + 5i * (-5ix + 3x) + x(-5ix + 3x)) = 0
((-15ix + 9x) + 5i * (-5ix + 3x) + x(-5ix + 3x)) = 0
(-15ix + 9x + (-5ix * 5i + 3x * 5i) + x(-5ix + 3x)) = 0

Reorder the terms:
(-15ix + 9x + (15ix + -25i2x) + x(-5ix + 3x)) = 0
(-15ix + 9x + (15ix + -25i2x) + x(-5ix + 3x)) = 0
(-15ix + 9x + 15ix + -25i2x + (-5ix * x + 3x * x)) = 0
(-15ix + 9x + 15ix + -25i2x + (-5ix2 + 3x2)) = 0

Reorder the terms:
(-15ix + 15ix + -5ix2 + -25i2x + 9x + 3x2) = 0

Combine like terms: -15ix + 15ix = 0
(0 + -5ix2 + -25i2x + 9x + 3x2) = 0
(-5ix2 + -25i2x + 9x + 3x2) = 0

Solving
-5ix2 + -25i2x + 9x + 3x2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5ix + -25i2 + 9 + 3x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing i to the left, all other terms to the right.

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(-5ix + -25i2 + 9 + 3x)' equal to zero and attempt to solve:

Simplifying
-5ix + -25i2 + 9 + 3x = 0

Reorder the terms:
9 + -5ix + -25i2 + 3x = 0

Solving
9 + -5ix + -25i2 + 3x = 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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