w^2+4w+800=0

Solution for w^2+4w+800=0 equation:

Simplifying
w2 + 4w + 800 = 0

Reorder the terms:
800 + 4w + w2 = 0

Solving
800 + 4w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-800' to each side of the equation.
800 + 4w + -800 + w2 = 0 + -800

Reorder the terms:
800 + -800 + 4w + w2 = 0 + -800

Combine like terms: 800 + -800 = 0
0 + 4w + w2 = 0 + -800
4w + w2 = 0 + -800

Combine like terms: 0 + -800 = -800
4w + w2 = -800

The w term is 4w.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4w + 4 + w2 = -800 + 4

Reorder the terms:
4 + 4w + w2 = -800 + 4

Combine like terms: -800 + 4 = -796
4 + 4w + w2 = -796

Factor a perfect square on the left side:
(w + 2)(w + 2) = -796

Can't calculate square root of the right side.

The solution to this equation could not be determined.