(3-2i)(x+5i)=y+11i

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Solution for (3-2i)(x+5i)=y+11i equation: 


Simplifying
(3 + -2i)(x + 5i) = y + 11i

Reorder the terms:
(3 + -2i)(5i + x) = y + 11i

Multiply (3 + -2i) * (5i + x)
(3(5i + x) + -2i * (5i + x)) = y + 11i
((5i * 3 + x * 3) + -2i * (5i + x)) = y + 11i
((15i + 3x) + -2i * (5i + x)) = y + 11i
(15i + 3x + (5i * -2i + x * -2i)) = y + 11i

Reorder the terms:
(15i + 3x + (-2ix + -10i2)) = y + 11i
(15i + 3x + (-2ix + -10i2)) = y + 11i

Reorder the terms:
(15i + -2ix + -10i2 + 3x) = y + 11i
(15i + -2ix + -10i2 + 3x) = y + 11i

Reorder the terms:
15i + -2ix + -10i2 + 3x = 11i + y

Solving
15i + -2ix + -10i2 + 3x = 11i + y

Solving for variable 'i'.

Reorder the terms:
15i + -11i + -2ix + -10i2 + 3x + -1y = 11i + y + -11i + -1y

Combine like terms: 15i + -11i = 4i
4i + -2ix + -10i2 + 3x + -1y = 11i + y + -11i + -1y

Reorder the terms:
4i + -2ix + -10i2 + 3x + -1y = 11i + -11i + y + -1y

Combine like terms: 11i + -11i = 0
4i + -2ix + -10i2 + 3x + -1y = 0 + y + -1y
4i + -2ix + -10i2 + 3x + -1y = y + -1y

Combine like terms: y + -1y = 0
4i + -2ix + -10i2 + 3x + -1y = 0

The solution to this equation could not be determined.

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