(x-3i)(2+yi)=7-5i

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Solution for (x-3i)(2+yi)=7-5i equation: 


Simplifying
(x + -3i)(2 + yi) = 7 + -5i

Reorder the terms:
(-3i + x)(2 + yi) = 7 + -5i

Multiply (-3i + x) * (2 + iy)
(-3i * (2 + iy) + x(2 + iy)) = 7 + -5i
((2 * -3i + iy * -3i) + x(2 + iy)) = 7 + -5i
((-6i + -3i2y) + x(2 + iy)) = 7 + -5i
(-6i + -3i2y + (2 * x + iy * x)) = 7 + -5i

Reorder the terms:
(-6i + -3i2y + (ixy + 2x)) = 7 + -5i
(-6i + -3i2y + (ixy + 2x)) = 7 + -5i

Reorder the terms:
(-6i + ixy + -3i2y + 2x) = 7 + -5i
(-6i + ixy + -3i2y + 2x) = 7 + -5i

Solving
-6i + ixy + -3i2y + 2x = 7 + -5i

Solving for variable 'i'.

Reorder the terms:
-7 + -6i + 5i + ixy + -3i2y + 2x = 7 + -5i + -7 + 5i

Combine like terms: -6i + 5i = -1i
-7 + -1i + ixy + -3i2y + 2x = 7 + -5i + -7 + 5i

Reorder the terms:
-7 + -1i + ixy + -3i2y + 2x = 7 + -7 + -5i + 5i

Combine like terms: 7 + -7 = 0
-7 + -1i + ixy + -3i2y + 2x = 0 + -5i + 5i
-7 + -1i + ixy + -3i2y + 2x = -5i + 5i

Combine like terms: -5i + 5i = 0
-7 + -1i + ixy + -3i2y + 2x = 0

The solution to this equation could not be determined.

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