(2-3yi)(3-5i)+(-2-3yi)(3-5i)=1

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Solution for (2-3yi)(3-5i)+(-2-3yi)(3-5i)=1 equation: 


Simplifying
(2 + -3yi)(3 + -5i) + (-2 + -3yi)(3 + -5i) = 1

Multiply (2 + -3iy) * (3 + -5i)
(2(3 + -5i) + -3iy * (3 + -5i)) + (-2 + -3yi)(3 + -5i) = 1
((3 * 2 + -5i * 2) + -3iy * (3 + -5i)) + (-2 + -3yi)(3 + -5i) = 1
((6 + -10i) + -3iy * (3 + -5i)) + (-2 + -3yi)(3 + -5i) = 1
(6 + -10i + (3 * -3iy + -5i * -3iy)) + (-2 + -3yi)(3 + -5i) = 1
(6 + -10i + (-9iy + 15i2y)) + (-2 + -3yi)(3 + -5i) = 1
(6 + -10i + -9iy + 15i2y) + (-2 + -3yi)(3 + -5i) = 1

Multiply (-2 + -3iy) * (3 + -5i)
6 + -10i + -9iy + 15i2y + (-2(3 + -5i) + -3iy * (3 + -5i)) = 1
6 + -10i + -9iy + 15i2y + ((3 * -2 + -5i * -2) + -3iy * (3 + -5i)) = 1
6 + -10i + -9iy + 15i2y + ((-6 + 10i) + -3iy * (3 + -5i)) = 1
6 + -10i + -9iy + 15i2y + (-6 + 10i + (3 * -3iy + -5i * -3iy)) = 1
6 + -10i + -9iy + 15i2y + (-6 + 10i + (-9iy + 15i2y)) = 1
6 + -10i + -9iy + 15i2y + (-6 + 10i + -9iy + 15i2y) = 1

Reorder the terms:
6 + -6 + -10i + 10i + -9iy + -9iy + 15i2y + 15i2y = 1

Combine like terms: 6 + -6 = 0
0 + -10i + 10i + -9iy + -9iy + 15i2y + 15i2y = 1
-10i + 10i + -9iy + -9iy + 15i2y + 15i2y = 1

Combine like terms: -10i + 10i = 0
0 + -9iy + -9iy + 15i2y + 15i2y = 1
-9iy + -9iy + 15i2y + 15i2y = 1

Combine like terms: -9iy + -9iy = -18iy
-18iy + 15i2y + 15i2y = 1

Combine like terms: 15i2y + 15i2y = 30i2y
-18iy + 30i2y = 1

Solving
-18iy + 30i2y = 1

Solving for variable 'i'.

Reorder the terms:
-1 + -18iy + 30i2y = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -18iy + 30i2y = 0

The solution to this equation could not be determined.

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