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

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

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

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

Multiply 2 * 3
z2 + 2iz + -3 + 6adr = 0

Reorder the terms:
-3 + 6adr + 2iz + z2 = 0

Solving
-3 + 6adr + 2iz + z2 = 0

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + 6adr + 2iz + 3 + z2 = 0 + 3

Reorder the terms:
-3 + 3 + 6adr + 2iz + z2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 6adr + 2iz + z2 = 0 + 3
6adr + 2iz + z2 = 0 + 3

Combine like terms: 0 + 3 = 3
6adr + 2iz + z2 = 3

Add '-2iz' to each side of the equation.
6adr + 2iz + -2iz + z2 = 3 + -2iz

Combine like terms: 2iz + -2iz = 0
6adr + 0 + z2 = 3 + -2iz
6adr + z2 = 3 + -2iz

Add '-1z2' to each side of the equation.
6adr + z2 + -1z2 = 3 + -2iz + -1z2

Combine like terms: z2 + -1z2 = 0
6adr + 0 = 3 + -2iz + -1z2
6adr = 3 + -2iz + -1z2

Divide each side by '6dr'.
a = 0.5d-1r-1 + -0.3333333333d-1ir-1z + -0.1666666667d-1r-1z2

Simplifying
a = 0.5d-1r-1 + -0.3333333333d-1ir-1z + -0.1666666667d-1r-1z2

Reorder the terms:
a = -0.3333333333d-1ir-1z + 0.5d-1r-1 + -0.1666666667d-1r-1z2