(z-2+3i)(3i-4)=2-5i

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Solution for (z-2+3i)(3i-4)=2-5i equation: 


Simplifying
(z + -2 + 3i)(3i + -4) = 2 + -5i

Reorder the terms:
(-2 + 3i + z)(3i + -4) = 2 + -5i

Reorder the terms:
(-2 + 3i + z)(-4 + 3i) = 2 + -5i

Multiply (-2 + 3i + z) * (-4 + 3i)
(-2(-4 + 3i) + 3i * (-4 + 3i) + z(-4 + 3i)) = 2 + -5i
((-4 * -2 + 3i * -2) + 3i * (-4 + 3i) + z(-4 + 3i)) = 2 + -5i
((8 + -6i) + 3i * (-4 + 3i) + z(-4 + 3i)) = 2 + -5i
(8 + -6i + (-4 * 3i + 3i * 3i) + z(-4 + 3i)) = 2 + -5i
(8 + -6i + (-12i + 9i2) + z(-4 + 3i)) = 2 + -5i
(8 + -6i + -12i + 9i2 + (-4 * z + 3i * z)) = 2 + -5i

Reorder the terms:
(8 + -6i + -12i + 9i2 + (3iz + -4z)) = 2 + -5i
(8 + -6i + -12i + 9i2 + (3iz + -4z)) = 2 + -5i

Reorder the terms:
(8 + -6i + -12i + 3iz + 9i2 + -4z) = 2 + -5i

Combine like terms: -6i + -12i = -18i
(8 + -18i + 3iz + 9i2 + -4z) = 2 + -5i

Solving
8 + -18i + 3iz + 9i2 + -4z = 2 + -5i

Solving for variable 'i'.

Reorder the terms:
8 + -2 + -18i + 5i + 3iz + 9i2 + -4z = 2 + -5i + -2 + 5i

Combine like terms: 8 + -2 = 6
6 + -18i + 5i + 3iz + 9i2 + -4z = 2 + -5i + -2 + 5i

Combine like terms: -18i + 5i = -13i
6 + -13i + 3iz + 9i2 + -4z = 2 + -5i + -2 + 5i

Reorder the terms:
6 + -13i + 3iz + 9i2 + -4z = 2 + -2 + -5i + 5i

Combine like terms: 2 + -2 = 0
6 + -13i + 3iz + 9i2 + -4z = 0 + -5i + 5i
6 + -13i + 3iz + 9i2 + -4z = -5i + 5i

Combine like terms: -5i + 5i = 0
6 + -13i + 3iz + 9i2 + -4z = 0

The solution to this equation could not be determined.

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