(4-5i)z=2

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


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

Reorder the terms for easier multiplication:
z(4 + -5i) = 2
(4 * z + -5i * z) = 2

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

Solving
-5iz + 4z = 2

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-4z' to each side of the equation.
-5iz + 4z + -4z = 2 + -4z

Combine like terms: 4z + -4z = 0
-5iz + 0 = 2 + -4z
-5iz = 2 + -4z

Divide each side by '-5z'.
i = -0.4z-1 + 0.8

Simplifying
i = -0.4z-1 + 0.8

Reorder the terms:
i = 0.8 + -0.4z-1

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