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

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

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

Reorder the terms:
-3 + -2i + z2 = 0

Solving
-3 + -2i + z2 = 0

Solving for variable 'i'.

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

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

Reorder the terms:
-3 + 3 + -2i + z2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2i + z2 = 0 + 3
-2i + z2 = 0 + 3

Combine like terms: 0 + 3 = 3
-2i + z2 = 3

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

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

Divide each side by '-2'.
i = -1.5 + 0.5z2

Simplifying
i = -1.5 + 0.5z2