z^2-4zi-5=0

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Solution for z^2-4zi-5=0 equation:


Simplifying
z2 + -4zi + -5 = 0

Reorder the terms:
-5 + -4iz + z2 = 0

Solving
-5 + -4iz + z2 = 0

Solving for variable 'i'.

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

Add '5' to each side of the equation.
-5 + -4iz + 5 + z2 = 0 + 5

Reorder the terms:
-5 + 5 + -4iz + z2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4iz + z2 = 0 + 5
-4iz + z2 = 0 + 5

Combine like terms: 0 + 5 = 5
-4iz + z2 = 5

Add '-1z2' to each side of the equation.
-4iz + z2 + -1z2 = 5 + -1z2

Combine like terms: z2 + -1z2 = 0
-4iz + 0 = 5 + -1z2
-4iz = 5 + -1z2

Divide each side by '-4z'.
i = -1.25z-1 + 0.25z

Simplifying
i = -1.25z-1 + 0.25z

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