5w^2+4w+6=0

Solution for 5w^2+4w+6=0 equation:

Simplifying
5w2 + 4w + 6 = 0

Reorder the terms:
6 + 4w + 5w2 = 0

Solving
6 + 4w + 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'.
1.2 + 0.8w + w2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + 0.8w + -1.2 + w2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + 0.8w + w2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.8w + w2 = 0 + -1.2
0.8w + w2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
0.8w + w2 = -1.2

The w term is 0.8w.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8w + 0.16 + w2 = -1.2 + 0.16

Reorder the terms:
0.16 + 0.8w + w2 = -1.2 + 0.16

Combine like terms: -1.2 + 0.16 = -1.04
0.16 + 0.8w + w2 = -1.04

Factor a perfect square on the left side:
(w + 0.4)(w + 0.4) = -1.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.