z^2+2z+5=0prindelta

Solution for z^2+2z+5=0prindelta equation:

Simplifying
z2 + 2z + 5 = 0prindelta

Reorder the terms:
5 + 2z + z2 = 0prindelta

Anything times zero is zero.
5 + 2z + z2 = 0adeilnprt

Solving
5 + 2z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 2z + -5 + z2 = 0 + -5

Reorder the terms:
5 + -5 + 2z + z2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2z + z2 = 0 + -5
2z + z2 = 0 + -5

Combine like terms: 0 + -5 = -5
2z + z2 = -5

The z term is 2z.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2z + 1 + z2 = -5 + 1

Reorder the terms:
1 + 2z + z2 = -5 + 1

Combine like terms: -5 + 1 = -4
1 + 2z + z2 = -4

Factor a perfect square on the left side:
(z + 1)(z + 1) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.