(x+2i)(y-6i)=40-10i

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Solution for (x+2i)(y-6i)=40-10i equation: 


Simplifying
(x + 2i)(y + -6i) = 40 + -10i

Reorder the terms:
(2i + x)(y + -6i) = 40 + -10i

Reorder the terms:
(2i + x)(-6i + y) = 40 + -10i

Multiply (2i + x) * (-6i + y)
(2i * (-6i + y) + x(-6i + y)) = 40 + -10i
((-6i * 2i + y * 2i) + x(-6i + y)) = 40 + -10i

Reorder the terms:
((2iy + -12i2) + x(-6i + y)) = 40 + -10i
((2iy + -12i2) + x(-6i + y)) = 40 + -10i
(2iy + -12i2 + (-6i * x + y * x)) = 40 + -10i
(2iy + -12i2 + (-6ix + xy)) = 40 + -10i

Reorder the terms:
(-6ix + 2iy + -12i2 + xy) = 40 + -10i
(-6ix + 2iy + -12i2 + xy) = 40 + -10i

Solving
-6ix + 2iy + -12i2 + xy = 40 + -10i

Solving for variable 'i'.

Reorder the terms:
-40 + 10i + -6ix + 2iy + -12i2 + xy = 40 + -10i + -40 + 10i

Reorder the terms:
-40 + 10i + -6ix + 2iy + -12i2 + xy = 40 + -40 + -10i + 10i

Combine like terms: 40 + -40 = 0
-40 + 10i + -6ix + 2iy + -12i2 + xy = 0 + -10i + 10i
-40 + 10i + -6ix + 2iy + -12i2 + xy = -10i + 10i

Combine like terms: -10i + 10i = 0
-40 + 10i + -6ix + 2iy + -12i2 + xy = 0

The solution to this equation could not be determined.

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