2w^2+4w=-3

Solution for 2w^2+4w=-3 equation:

Simplifying
2w2 + 4w = -3

Reorder the terms:
4w + 2w2 = -3

Solving
4w + 2w2 = -3

Solving for variable 'w'.

Reorder the terms:
3 + 4w + 2w2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 4w + 2w2 = 0

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

Divide each side by '2'.
1.5 + 2w + w2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 2w + -1.5 + w2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 2w + w2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 2w + w2 = 0 + -1.5
2w + w2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
2w + w2 = -1.5

The w term is 2w.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2w + 1 + w2 = -1.5 + 1

Reorder the terms:
1 + 2w + w2 = -1.5 + 1

Combine like terms: -1.5 + 1 = -0.5
1 + 2w + w2 = -0.5

Factor a perfect square on the left side:
(w + 1)(w + 1) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.