z^2+2iz-rad(3)i=0

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Solution for z^2+2iz-rad(3)i=0 equation:


Simplifying
z2 + 2iz + -1rad(3) * i = 0

Reorder the terms for easier multiplication:
z2 + 2iz + -1 * 3adr * i = 0

Multiply -1 * 3
z2 + 2iz + -3adr * i = 0

Multiply adr * i
z2 + 2iz + -3adir = 0

Reorder the terms:
-3adir + 2iz + z2 = 0

Solving
-3adir + 2iz + z2 = 0

Solving for variable 'a'.

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

Add '-2iz' to each side of the equation.
-3adir + 2iz + -2iz + z2 = 0 + -2iz

Combine like terms: 2iz + -2iz = 0
-3adir + 0 + z2 = 0 + -2iz
-3adir + z2 = 0 + -2iz
Remove the zero:
-3adir + z2 = -2iz

Add '-1z2' to each side of the equation.
-3adir + z2 + -1z2 = -2iz + -1z2

Combine like terms: z2 + -1z2 = 0
-3adir + 0 = -2iz + -1z2
-3adir = -2iz + -1z2

Divide each side by '-3dir'.
a = 0.6666666667d-1r-1z + 0.3333333333d-1i-1r-1z2

Simplifying
a = 0.6666666667d-1r-1z + 0.3333333333d-1i-1r-1z2

Reorder the terms:
a = 0.3333333333d-1i-1r-1z2 + 0.6666666667d-1r-1z

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