z^2+8z+33=

Solution for z^2+8z+33= equation:

Simplifying
z2 + 8z + 33 = 0

Reorder the terms:
33 + 8z + z2 = 0

Solving
33 + 8z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + 8z + -33 + z2 = 0 + -33

Reorder the terms:
33 + -33 + 8z + z2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 8z + z2 = 0 + -33
8z + z2 = 0 + -33

Combine like terms: 0 + -33 = -33
8z + z2 = -33

The z term is 8z.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8z + 16 + z2 = -33 + 16

Reorder the terms:
16 + 8z + z2 = -33 + 16

Combine like terms: -33 + 16 = -17
16 + 8z + z2 = -17

Factor a perfect square on the left side:
(z + 4)(z + 4) = -17

Can't calculate square root of the right side.

The solution to this equation could not be determined.