w^2+12w+112=0

Solution for w^2+12w+112=0 equation:

Simplifying
w2 + 12w + 112 = 0

Reorder the terms:
112 + 12w + w2 = 0

Solving
112 + 12w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-112' to each side of the equation.
112 + 12w + -112 + w2 = 0 + -112

Reorder the terms:
112 + -112 + 12w + w2 = 0 + -112

Combine like terms: 112 + -112 = 0
0 + 12w + w2 = 0 + -112
12w + w2 = 0 + -112

Combine like terms: 0 + -112 = -112
12w + w2 = -112

The w term is 12w.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12w + 36 + w2 = -112 + 36

Reorder the terms:
36 + 12w + w2 = -112 + 36

Combine like terms: -112 + 36 = -76
36 + 12w + w2 = -76

Factor a perfect square on the left side:
(w + 6)(w + 6) = -76

Can't calculate square root of the right side.

The solution to this equation could not be determined.