2z^2+6z+17=0

Solution for 2z^2+6z+17=0 equation:

Simplifying
2z2 + 6z + 17 = 0

Reorder the terms:
17 + 6z + 2z2 = 0

Solving
17 + 6z + 2z2 = 0

Solving for variable 'z'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
8.5 + 3z + z2 = 0

Move the constant term to the right:

Add '-8.5' to each side of the equation.
8.5 + 3z + -8.5 + z2 = 0 + -8.5

Reorder the terms:
8.5 + -8.5 + 3z + z2 = 0 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + 3z + z2 = 0 + -8.5
3z + z2 = 0 + -8.5

Combine like terms: 0 + -8.5 = -8.5
3z + z2 = -8.5

The z term is 3z.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3z + 2.25 + z2 = -8.5 + 2.25

Reorder the terms:
2.25 + 3z + z2 = -8.5 + 2.25

Combine like terms: -8.5 + 2.25 = -6.25
2.25 + 3z + z2 = -6.25

Factor a perfect square on the left side:
(z + 1.5)(z + 1.5) = -6.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.