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

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


Simplifying
(2 + -3yi)(3 + -5i) + (2 + -3yi)(3 + -5i) = 0

Multiply (2 + -3iy) * (3 + -5i)
(2(3 + -5i) + -3iy * (3 + -5i)) + (2 + -3yi)(3 + -5i) = 0
((3 * 2 + -5i * 2) + -3iy * (3 + -5i)) + (2 + -3yi)(3 + -5i) = 0
((6 + -10i) + -3iy * (3 + -5i)) + (2 + -3yi)(3 + -5i) = 0
(6 + -10i + (3 * -3iy + -5i * -3iy)) + (2 + -3yi)(3 + -5i) = 0
(6 + -10i + (-9iy + 15i2y)) + (2 + -3yi)(3 + -5i) = 0
(6 + -10i + -9iy + 15i2y) + (2 + -3yi)(3 + -5i) = 0

Multiply (2 + -3iy) * (3 + -5i)
6 + -10i + -9iy + 15i2y + (2(3 + -5i) + -3iy * (3 + -5i)) = 0
6 + -10i + -9iy + 15i2y + ((3 * 2 + -5i * 2) + -3iy * (3 + -5i)) = 0
6 + -10i + -9iy + 15i2y + ((6 + -10i) + -3iy * (3 + -5i)) = 0
6 + -10i + -9iy + 15i2y + (6 + -10i + (3 * -3iy + -5i * -3iy)) = 0
6 + -10i + -9iy + 15i2y + (6 + -10i + (-9iy + 15i2y)) = 0
6 + -10i + -9iy + 15i2y + (6 + -10i + -9iy + 15i2y) = 0

Reorder the terms:
6 + 6 + -10i + -10i + -9iy + -9iy + 15i2y + 15i2y = 0

Combine like terms: 6 + 6 = 12
12 + -10i + -10i + -9iy + -9iy + 15i2y + 15i2y = 0

Combine like terms: -10i + -10i = -20i
12 + -20i + -9iy + -9iy + 15i2y + 15i2y = 0

Combine like terms: -9iy + -9iy = -18iy
12 + -20i + -18iy + 15i2y + 15i2y = 0

Combine like terms: 15i2y + 15i2y = 30i2y
12 + -20i + -18iy + 30i2y = 0

Solving
12 + -20i + -18iy + 30i2y = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -10i + -9iy + 15i2y) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(6 + -10i + -9iy + 15i2y)' equal to zero and attempt to solve: Simplifying 6 + -10i + -9iy + 15i2y = 0 Solving 6 + -10i + -9iy + 15i2y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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