w^2+2w=-3

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

Simplifying
w2 + 2w = -3

Reorder the terms:
2w + w2 = -3

Solving
2w + w2 = -3

Solving for variable 'w'.

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

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

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 2w + -3 + w2 = 0 + -3

Reorder the terms:
3 + -3 + 2w + w2 = 0 + -3

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

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

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 = -3 + 1

Reorder the terms:
1 + 2w + w2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + 2w + w2 = -2

Factor a perfect square on the left side:
(w + 1)(w + 1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.