Z^2+Z+9=0

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

Simplifying
Z2 + Z + 9 = 0

Reorder the terms:
9 + Z + Z2 = 0

Solving
9 + Z + 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 + Z + -9 + Z2 = 0 + -9

Reorder the terms:
9 + -9 + Z + Z2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + Z + Z2 = 0 + -9
Z + Z2 = 0 + -9

Combine like terms: 0 + -9 = -9
Z + Z2 = -9

The Z term is Z.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
Z + 0.25 + Z2 = -9 + 0.25

Reorder the terms:
0.25 + Z + Z2 = -9 + 0.25

Combine like terms: -9 + 0.25 = -8.75
0.25 + Z + Z2 = -8.75

Factor a perfect square on the left side:
(Z + 0.5)(Z + 0.5) = -8.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.