5w^2+12w+8=0

Solution for 5w^2+12w+8=0 equation:

Simplifying
5w2 + 12w + 8 = 0

Reorder the terms:
8 + 12w + 5w2 = 0

Solving
8 + 12w + 5w2 = 0

Solving for variable 'w'.

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

Divide each side by '5'.
1.6 + 2.4w + w2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + 2.4w + -1.6 + w2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + 2.4w + w2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 2.4w + w2 = 0 + -1.6
2.4w + w2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
2.4w + w2 = -1.6

The w term is 2.4w.  Take half its coefficient (1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
2.4w + 1.44 + w2 = -1.6 + 1.44

Reorder the terms:
1.44 + 2.4w + w2 = -1.6 + 1.44

Combine like terms: -1.6 + 1.44 = -0.16
1.44 + 2.4w + w2 = -0.16

Factor a perfect square on the left side:
(w + 1.2)(w + 1.2) = -0.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.