z^2+2z+9=0

Solution for z^2+2z+9=0 equation:

Simplifying
z2 + 2z + 9 = 0

Reorder the terms:
9 + 2z + z2 = 0

Solving
9 + 2z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 2z + -9 + z2 = 0 + -9

Reorder the terms:
9 + -9 + 2z + z2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2z + z2 = 0 + -9
2z + z2 = 0 + -9

Combine like terms: 0 + -9 = -9
2z + z2 = -9

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 = -9 + 1

Reorder the terms:
1 + 2z + z2 = -9 + 1

Combine like terms: -9 + 1 = -8
1 + 2z + z2 = -8

Factor a perfect square on the left side:
(z + 1)(z + 1) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.