8w^2+8w+3=0

Solution for 8w^2+8w+3=0 equation:

Simplifying
8w2 + 8w + 3 = 0

Reorder the terms:
3 + 8w + 8w2 = 0

Solving
3 + 8w + 8w2 = 0

Solving for variable 'w'.

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

Divide each side by '8'.
0.375 + w + w2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + w + -0.375 + w2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + w + w2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + w + w2 = 0 + -0.375
w + w2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
w + w2 = -0.375

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 = -0.375 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + w2 = -0.375 + 0.25

Combine like terms: -0.375 + 0.25 = -0.125
1.25 + w2 = -0.125

Factor a perfect square on the left side:
(w + 0.5)(w + 0.5) = -0.125

Can't calculate square root of the right side.

The solution to this equation could not be determined.