5w^2+6w=-5

Solution for 5w^2+6w=-5 equation:

Simplifying
5w2 + 6w = -5

Reorder the terms:
6w + 5w2 = -5

Solving
6w + 5w2 = -5

Solving for variable 'w'.

Reorder the terms:
5 + 6w + 5w2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 6w + 5w2 = 0

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

Divide each side by '5'.
1 + 1.2w + w2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.2w + -1 + w2 = 0 + -1

Reorder the terms:
1 + -1 + 1.2w + w2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.2w + w2 = 0 + -1
1.2w + w2 = 0 + -1

Combine like terms: 0 + -1 = -1
1.2w + w2 = -1

The w term is 1.2w.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2w + 0.36 + w2 = -1 + 0.36

Reorder the terms:
0.36 + 1.2w + w2 = -1 + 0.36

Combine like terms: -1 + 0.36 = -0.64
0.36 + 1.2w + w2 = -0.64

Factor a perfect square on the left side:
(w + 0.6)(w + 0.6) = -0.64

Can't calculate square root of the right side.

The solution to this equation could not be determined.