(3x+2j)(-2-3j)+(10x-yj)(1+2j)=(50-200j)

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Solution for (3x+2j)(-2-3j)+(10x-yj)(1+2j)=(50-200j) equation: 


Simplifying
(3x + 2j)(-2 + -3j) + (10x + -1yj)(1 + 2j) = (50 + -200j)

Reorder the terms:
(2j + 3x)(-2 + -3j) + (10x + -1yj)(1 + 2j) = (50 + -200j)

Multiply (2j + 3x) * (-2 + -3j)
(2j * (-2 + -3j) + 3x * (-2 + -3j)) + (10x + -1yj)(1 + 2j) = (50 + -200j)
((-2 * 2j + -3j * 2j) + 3x * (-2 + -3j)) + (10x + -1yj)(1 + 2j) = (50 + -200j)
((-4j + -6j2) + 3x * (-2 + -3j)) + (10x + -1yj)(1 + 2j) = (50 + -200j)
(-4j + -6j2 + (-2 * 3x + -3j * 3x)) + (10x + -1yj)(1 + 2j) = (50 + -200j)

Reorder the terms:
(-4j + -6j2 + (-9jx + -6x)) + (10x + -1yj)(1 + 2j) = (50 + -200j)
(-4j + -6j2 + (-9jx + -6x)) + (10x + -1yj)(1 + 2j) = (50 + -200j)

Reorder the terms:
(-4j + -9jx + -6j2 + -6x) + (10x + -1yj)(1 + 2j) = (50 + -200j)
(-4j + -9jx + -6j2 + -6x) + (10x + -1yj)(1 + 2j) = (50 + -200j)

Reorder the terms:
-4j + -9jx + -6j2 + -6x + (-1jy + 10x)(1 + 2j) = (50 + -200j)

Multiply (-1jy + 10x) * (1 + 2j)
-4j + -9jx + -6j2 + -6x + (-1jy * (1 + 2j) + 10x * (1 + 2j)) = (50 + -200j)
-4j + -9jx + -6j2 + -6x + ((1 * -1jy + 2j * -1jy) + 10x * (1 + 2j)) = (50 + -200j)
-4j + -9jx + -6j2 + -6x + ((-1jy + -2j2y) + 10x * (1 + 2j)) = (50 + -200j)
-4j + -9jx + -6j2 + -6x + (-1jy + -2j2y + (1 * 10x + 2j * 10x)) = (50 + -200j)

Reorder the terms:
-4j + -9jx + -6j2 + -6x + (-1jy + -2j2y + (20jx + 10x)) = (50 + -200j)
-4j + -9jx + -6j2 + -6x + (-1jy + -2j2y + (20jx + 10x)) = (50 + -200j)

Reorder the terms:
-4j + -9jx + -6j2 + -6x + (20jx + -1jy + -2j2y + 10x) = (50 + -200j)
-4j + -9jx + -6j2 + -6x + (20jx + -1jy + -2j2y + 10x) = (50 + -200j)

Reorder the terms:
-4j + -9jx + 20jx + -1jy + -6j2 + -2j2y + -6x + 10x = (50 + -200j)

Combine like terms: -9jx + 20jx = 11jx
-4j + 11jx + -1jy + -6j2 + -2j2y + -6x + 10x = (50 + -200j)

Combine like terms: -6x + 10x = 4x
-4j + 11jx + -1jy + -6j2 + -2j2y + 4x = (50 + -200j)

Remove parenthesis around (50 + -200j)
-4j + 11jx + -1jy + -6j2 + -2j2y + 4x = 50 + -200j

Solving
-4j + 11jx + -1jy + -6j2 + -2j2y + 4x = 50 + -200j

Solving for variable 'j'.

Reorder the terms:
-50 + -4j + 200j + 11jx + -1jy + -6j2 + -2j2y + 4x = 50 + -200j + -50 + 200j

Combine like terms: -4j + 200j = 196j
-50 + 196j + 11jx + -1jy + -6j2 + -2j2y + 4x = 50 + -200j + -50 + 200j

Reorder the terms:
-50 + 196j + 11jx + -1jy + -6j2 + -2j2y + 4x = 50 + -50 + -200j + 200j

Combine like terms: 50 + -50 = 0
-50 + 196j + 11jx + -1jy + -6j2 + -2j2y + 4x = 0 + -200j + 200j
-50 + 196j + 11jx + -1jy + -6j2 + -2j2y + 4x = -200j + 200j

Combine like terms: -200j + 200j = 0
-50 + 196j + 11jx + -1jy + -6j2 + -2j2y + 4x = 0

The solution to this equation could not be determined.

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