Z^2+(3+i)=0

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

Simplifying
Z2 + (3 + i) = 0

Remove parenthesis around (3 + i)
Z2 + 3 + i = 0

Reorder the terms:
3 + Z2 + i = 0

Solving
3 + Z2 + i = 0

Solving for variable 'Z'.

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

Add '-3' to each side of the equation.
3 + Z2 + -3 + i = 0 + -3

Reorder the terms:
3 + -3 + Z2 + i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + Z2 + i = 0 + -3
Z2 + i = 0 + -3

Combine like terms: 0 + -3 = -3
Z2 + i = -3

Add '-1i' to each side of the equation.
Z2 + i + -1i = -3 + -1i

Combine like terms: i + -1i = 0
Z2 + 0 = -3 + -1i
Z2 = -3 + -1i

Simplifying
Z2 = -3 + -1i

Reorder the terms:
3 + Z2 + i = -3 + -1i + 3 + i

Reorder the terms:
3 + Z2 + i = -3 + 3 + -1i + i

Combine like terms: -3 + 3 = 0
3 + Z2 + i = 0 + -1i + i
3 + Z2 + i = -1i + i

Combine like terms: -1i + i = 0
3 + Z2 + i = 0

The solution to this equation could not be determined.