(x-3i)(3+yi)=15-5i

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Solution for (x-3i)(3+yi)=15-5i equation: 


Simplifying
(x + -3i)(3 + yi) = 15 + -5i

Reorder the terms:
(-3i + x)(3 + yi) = 15 + -5i

Multiply (-3i + x) * (3 + iy)
(-3i * (3 + iy) + x(3 + iy)) = 15 + -5i
((3 * -3i + iy * -3i) + x(3 + iy)) = 15 + -5i
((-9i + -3i2y) + x(3 + iy)) = 15 + -5i
(-9i + -3i2y + (3 * x + iy * x)) = 15 + -5i

Reorder the terms:
(-9i + -3i2y + (ixy + 3x)) = 15 + -5i
(-9i + -3i2y + (ixy + 3x)) = 15 + -5i

Reorder the terms:
(-9i + ixy + -3i2y + 3x) = 15 + -5i
(-9i + ixy + -3i2y + 3x) = 15 + -5i

Solving
-9i + ixy + -3i2y + 3x = 15 + -5i

Solving for variable 'i'.

Reorder the terms:
-15 + -9i + 5i + ixy + -3i2y + 3x = 15 + -5i + -15 + 5i

Combine like terms: -9i + 5i = -4i
-15 + -4i + ixy + -3i2y + 3x = 15 + -5i + -15 + 5i

Reorder the terms:
-15 + -4i + ixy + -3i2y + 3x = 15 + -15 + -5i + 5i

Combine like terms: 15 + -15 = 0
-15 + -4i + ixy + -3i2y + 3x = 0 + -5i + 5i
-15 + -4i + ixy + -3i2y + 3x = -5i + 5i

Combine like terms: -5i + 5i = 0
-15 + -4i + ixy + -3i2y + 3x = 0

The solution to this equation could not be determined.

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