(x+2+3j)*(x+2-3j)=0

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Solution for (x+2+3j)*(x+2-3j)=0 equation: 


Simplifying
(x + 2 + 3j)(x + 2 + -3j) = 0

Reorder the terms:
(2 + 3j + x)(x + 2 + -3j) = 0

Reorder the terms:
(2 + 3j + x)(2 + -3j + x) = 0

Multiply (2 + 3j + x) * (2 + -3j + x)
(2(2 + -3j + x) + 3j * (2 + -3j + x) + x(2 + -3j + x)) = 0
((2 * 2 + -3j * 2 + x * 2) + 3j * (2 + -3j + x) + x(2 + -3j + x)) = 0
((4 + -6j + 2x) + 3j * (2 + -3j + x) + x(2 + -3j + x)) = 0
(4 + -6j + 2x + (2 * 3j + -3j * 3j + x * 3j) + x(2 + -3j + x)) = 0

Reorder the terms:
(4 + -6j + 2x + (6j + 3jx + -9j2) + x(2 + -3j + x)) = 0
(4 + -6j + 2x + (6j + 3jx + -9j2) + x(2 + -3j + x)) = 0
(4 + -6j + 2x + 6j + 3jx + -9j2 + (2 * x + -3j * x + x * x)) = 0

Reorder the terms:
(4 + -6j + 2x + 6j + 3jx + -9j2 + (-3jx + 2x + x2)) = 0
(4 + -6j + 2x + 6j + 3jx + -9j2 + (-3jx + 2x + x2)) = 0

Reorder the terms:
(4 + -6j + 6j + 3jx + -3jx + -9j2 + 2x + 2x + x2) = 0

Combine like terms: -6j + 6j = 0
(4 + 0 + 3jx + -3jx + -9j2 + 2x + 2x + x2) = 0
(4 + 3jx + -3jx + -9j2 + 2x + 2x + x2) = 0

Combine like terms: 3jx + -3jx = 0
(4 + 0 + -9j2 + 2x + 2x + x2) = 0
(4 + -9j2 + 2x + 2x + x2) = 0

Combine like terms: 2x + 2x = 4x
(4 + -9j2 + 4x + x2) = 0

Solving
4 + -9j2 + 4x + x2 = 0

Solving for variable 'j'.

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

Add '-4' to each side of the equation.
4 + -9j2 + 4x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -9j2 + 4x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9j2 + 4x + x2 = 0 + -4
-9j2 + 4x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-9j2 + 4x + x2 = -4

Add '-4x' to each side of the equation.
-9j2 + 4x + -4x + x2 = -4 + -4x

Combine like terms: 4x + -4x = 0
-9j2 + 0 + x2 = -4 + -4x
-9j2 + x2 = -4 + -4x

Add '-1x2' to each side of the equation.
-9j2 + x2 + -1x2 = -4 + -4x + -1x2

Combine like terms: x2 + -1x2 = 0
-9j2 + 0 = -4 + -4x + -1x2
-9j2 = -4 + -4x + -1x2

Divide each side by '-9'.
j2 = 0.4444444444 + 0.4444444444x + 0.1111111111x2

Simplifying
j2 = 0.4444444444 + 0.4444444444x + 0.1111111111x2

Reorder the terms:
-0.4444444444 + j2 + -0.4444444444x + -0.1111111111x2 = 0.4444444444 + 0.4444444444x + 0.1111111111x2 + -0.4444444444 + -0.4444444444x + -0.1111111111x2

Reorder the terms:
-0.4444444444 + j2 + -0.4444444444x + -0.1111111111x2 = 0.4444444444 + -0.4444444444 + 0.4444444444x + -0.4444444444x + 0.1111111111x2 + -0.1111111111x2

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
-0.4444444444 + j2 + -0.4444444444x + -0.1111111111x2 = 0.0000000000 + 0.4444444444x + -0.4444444444x + 0.1111111111x2 + -0.1111111111x2
-0.4444444444 + j2 + -0.4444444444x + -0.1111111111x2 = 0.4444444444x + -0.4444444444x + 0.1111111111x2 + -0.1111111111x2

Combine like terms: 0.4444444444x + -0.4444444444x = 0.0000000000
-0.4444444444 + j2 + -0.4444444444x + -0.1111111111x2 = 0.0000000000 + 0.1111111111x2 + -0.1111111111x2
-0.4444444444 + j2 + -0.4444444444x + -0.1111111111x2 = 0.1111111111x2 + -0.1111111111x2

Combine like terms: 0.1111111111x2 + -0.1111111111x2 = 0.0000000000
-0.4444444444 + j2 + -0.4444444444x + -0.1111111111x2 = 0.0000000000

The solution to this equation could not be determined.

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