w^2+3w+88=0

Solution for w^2+3w+88=0 equation:

Simplifying
w2 + 3w + 88 = 0

Reorder the terms:
88 + 3w + w2 = 0

Solving
88 + 3w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-88' to each side of the equation.
88 + 3w + -88 + w2 = 0 + -88

Reorder the terms:
88 + -88 + 3w + w2 = 0 + -88

Combine like terms: 88 + -88 = 0
0 + 3w + w2 = 0 + -88
3w + w2 = 0 + -88

Combine like terms: 0 + -88 = -88
3w + w2 = -88

The w term is 3w.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3w + 2.25 + w2 = -88 + 2.25

Reorder the terms:
2.25 + 3w + w2 = -88 + 2.25

Combine like terms: -88 + 2.25 = -85.75
2.25 + 3w + w2 = -85.75

Factor a perfect square on the left side:
(w + 1.5)(w + 1.5) = -85.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.