w^2+8w+34=0

Solution for w^2+8w+34=0 equation:

Simplifying
w2 + 8w + 34 = 0

Reorder the terms:
34 + 8w + w2 = 0

Solving
34 + 8w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + 8w + -34 + w2 = 0 + -34

Reorder the terms:
34 + -34 + 8w + w2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 8w + w2 = 0 + -34
8w + w2 = 0 + -34

Combine like terms: 0 + -34 = -34
8w + w2 = -34

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

Add '16' to each side of the equation.
8w + 16 + w2 = -34 + 16

Reorder the terms:
16 + 8w + w2 = -34 + 16

Combine like terms: -34 + 16 = -18
16 + 8w + w2 = -18

Factor a perfect square on the left side:
(w + 4)(w + 4) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.