2w^2+2w+5=0

Solution for 2w^2+2w+5=0 equation:

Simplifying
2w2 + 2w + 5 = 0

Reorder the terms:
5 + 2w + 2w2 = 0

Solving
5 + 2w + 2w2 = 0

Solving for variable 'w'.

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

Divide each side by '2'.
2.5 + w + w2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + w + -2.5 + w2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + w + w2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + w + w2 = 0 + -2.5
w + w2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
w + w2 = -2.5

The w term is w.  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.
 + 0.25 + w2 = -2.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + w2 = -2.5 + 0.25

Combine like terms: -2.5 + 0.25 = -2.25
1.25 + w2 = -2.25

Factor a perfect square on the left side:
(w + 0.5)(w + 0.5) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.