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

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


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

Reorder the terms for easier multiplication:
z(3 + 2i) + 5z = 4
(3 * z + 2i * z) + 5z = 4

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

Combine like terms: 3z + 5z = 8z
2iz + 8z = 4

Solving
2iz + 8z = 4

Solving for variable 'i'.

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

Add '-8z' to each side of the equation.
2iz + 8z + -8z = 4 + -8z

Combine like terms: 8z + -8z = 0
2iz + 0 = 4 + -8z
2iz = 4 + -8z

Divide each side by '2z'.
i = 2z-1 + -4

Simplifying
i = 2z-1 + -4

Reorder the terms:
i = -4 + 2z-1

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