(3+2j)(-6-j)=(x+jy)(-2+4j)

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Solution for (3+2j)(-6-j)=(x+jy)(-2+4j) equation: 


Simplifying
(3 + 2j)(-6 + -1j) = (x + jy)(-2 + 4j)

Multiply (3 + 2j) * (-6 + -1j)
(3(-6 + -1j) + 2j * (-6 + -1j)) = (x + jy)(-2 + 4j)
((-6 * 3 + -1j * 3) + 2j * (-6 + -1j)) = (x + jy)(-2 + 4j)
((-18 + -3j) + 2j * (-6 + -1j)) = (x + jy)(-2 + 4j)
(-18 + -3j + (-6 * 2j + -1j * 2j)) = (x + jy)(-2 + 4j)
(-18 + -3j + (-12j + -2j2)) = (x + jy)(-2 + 4j)

Combine like terms: -3j + -12j = -15j
(-18 + -15j + -2j2) = (x + jy)(-2 + 4j)

Reorder the terms:
-18 + -15j + -2j2 = (jy + x)(-2 + 4j)

Multiply (jy + x) * (-2 + 4j)
-18 + -15j + -2j2 = (jy(-2 + 4j) + x(-2 + 4j))
-18 + -15j + -2j2 = ((-2 * jy + 4j * jy) + x(-2 + 4j))
-18 + -15j + -2j2 = ((-2jy + 4j2y) + x(-2 + 4j))
-18 + -15j + -2j2 = (-2jy + 4j2y + (-2 * x + 4j * x))

Reorder the terms:
-18 + -15j + -2j2 = (-2jy + 4j2y + (4jx + -2x))
-18 + -15j + -2j2 = (-2jy + 4j2y + (4jx + -2x))

Reorder the terms:
-18 + -15j + -2j2 = (4jx + -2jy + 4j2y + -2x)
-18 + -15j + -2j2 = (4jx + -2jy + 4j2y + -2x)

Solving
-18 + -15j + -2j2 = 4jx + -2jy + 4j2y + -2x

Solving for variable 'j'.

Reorder the terms:
-18 + -15j + -4jx + 2jy + -2j2 + -4j2y + 2x = 4jx + -2jy + 4j2y + -2x + -4jx + 2jy + -4j2y + 2x

Reorder the terms:
-18 + -15j + -4jx + 2jy + -2j2 + -4j2y + 2x = 4jx + -4jx + -2jy + 2jy + 4j2y + -4j2y + -2x + 2x

Combine like terms: 4jx + -4jx = 0
-18 + -15j + -4jx + 2jy + -2j2 + -4j2y + 2x = 0 + -2jy + 2jy + 4j2y + -4j2y + -2x + 2x
-18 + -15j + -4jx + 2jy + -2j2 + -4j2y + 2x = -2jy + 2jy + 4j2y + -4j2y + -2x + 2x

Combine like terms: -2jy + 2jy = 0
-18 + -15j + -4jx + 2jy + -2j2 + -4j2y + 2x = 0 + 4j2y + -4j2y + -2x + 2x
-18 + -15j + -4jx + 2jy + -2j2 + -4j2y + 2x = 4j2y + -4j2y + -2x + 2x

Combine like terms: 4j2y + -4j2y = 0
-18 + -15j + -4jx + 2jy + -2j2 + -4j2y + 2x = 0 + -2x + 2x
-18 + -15j + -4jx + 2jy + -2j2 + -4j2y + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + -15j + -4jx + 2jy + -2j2 + -4j2y + 2x = 0

The solution to this equation could not be determined.

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