w(w+2)=-5

Solution for w(w+2)=-5 equation:

Simplifying
w(w + 2) = -5

Reorder the terms:
w(2 + w) = -5
(2 * w + w * w) = -5
(2w + w2) = -5

Solving
2w + w2 = -5

Solving for variable 'w'.

Reorder the terms:
5 + 2w + w2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 2w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 2w + -5 + w2 = 0 + -5

Reorder the terms:
5 + -5 + 2w + w2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2w + w2 = 0 + -5
2w + w2 = 0 + -5

Combine like terms: 0 + -5 = -5
2w + w2 = -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 = -5 + 1

Reorder the terms:
1 + 2w + w2 = -5 + 1

Combine like terms: -5 + 1 = -4
1 + 2w + w2 = -4

Factor a perfect square on the left side:
(w + 1)(w + 1) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.