2w^2+5w+29=0

Solution for 2w^2+5w+29=0 equation:

Simplifying
2w2 + 5w + 29 = 0

Reorder the terms:
29 + 5w + 2w2 = 0

Solving
29 + 5w + 2w2 = 0

Solving for variable 'w'.

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

Divide each side by '2'.
14.5 + 2.5w + w2 = 0

Move the constant term to the right:

Add '-14.5' to each side of the equation.
14.5 + 2.5w + -14.5 + w2 = 0 + -14.5

Reorder the terms:
14.5 + -14.5 + 2.5w + w2 = 0 + -14.5

Combine like terms: 14.5 + -14.5 = 0.0
0.0 + 2.5w + w2 = 0 + -14.5
2.5w + w2 = 0 + -14.5

Combine like terms: 0 + -14.5 = -14.5
2.5w + w2 = -14.5

The w term is 2.5w.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5w + 1.5625 + w2 = -14.5 + 1.5625

Reorder the terms:
1.5625 + 2.5w + w2 = -14.5 + 1.5625

Combine like terms: -14.5 + 1.5625 = -12.9375
1.5625 + 2.5w + w2 = -12.9375

Factor a perfect square on the left side:
(w + 1.25)(w + 1.25) = -12.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.