w^2+8w+49=

Solution for w^2+8w+49= equation:

Simplifying
w2 + 8w + 49 = 0

Reorder the terms:
49 + 8w + w2 = 0

Solving
49 + 8w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-49' to each side of the equation.
49 + 8w + -49 + w2 = 0 + -49

Reorder the terms:
49 + -49 + 8w + w2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + 8w + w2 = 0 + -49
8w + w2 = 0 + -49

Combine like terms: 0 + -49 = -49
8w + w2 = -49

The w term is 8w.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8w + 16 + w2 = -49 + 16

Reorder the terms:
16 + 8w + w2 = -49 + 16

Combine like terms: -49 + 16 = -33
16 + 8w + w2 = -33

Factor a perfect square on the left side:
(w + 4)(w + 4) = -33

Can't calculate square root of the right side.

The solution to this equation could not be determined.