5z^2-3iz+5z=0

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Solution for 5z^2-3iz+5z=0 equation:


Simplifying
5z2 + -3iz + 5z = 0

Reorder the terms:
-3iz + 5z + 5z2 = 0

Solving
-3iz + 5z + 5z2 = 0

Solving for variable 'i'.

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

Add '-5z' to each side of the equation.
-3iz + 5z + -5z + 5z2 = 0 + -5z

Combine like terms: 5z + -5z = 0
-3iz + 0 + 5z2 = 0 + -5z
-3iz + 5z2 = 0 + -5z
Remove the zero:
-3iz + 5z2 = -5z

Add '-5z2' to each side of the equation.
-3iz + 5z2 + -5z2 = -5z + -5z2

Combine like terms: 5z2 + -5z2 = 0
-3iz + 0 = -5z + -5z2
-3iz = -5z + -5z2

Divide each side by '-3z'.
i = 1.666666667 + 1.666666667z

Simplifying
i = 1.666666667 + 1.666666667z

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