w^2+2w+77=0

Solution for w^2+2w+77=0 equation:

Simplifying
w2 + 2w + 77 = 0

Reorder the terms:
77 + 2w + w2 = 0

Solving
77 + 2w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-77' to each side of the equation.
77 + 2w + -77 + w2 = 0 + -77

Reorder the terms:
77 + -77 + 2w + w2 = 0 + -77

Combine like terms: 77 + -77 = 0
0 + 2w + w2 = 0 + -77
2w + w2 = 0 + -77

Combine like terms: 0 + -77 = -77
2w + w2 = -77

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 = -77 + 1

Reorder the terms:
1 + 2w + w2 = -77 + 1

Combine like terms: -77 + 1 = -76
1 + 2w + w2 = -76

Factor a perfect square on the left side:
(w + 1)(w + 1) = -76

Can't calculate square root of the right side.

The solution to this equation could not be determined.