w^2+7w+42=0

Solution for w^2+7w+42=0 equation:

Simplifying
w2 + 7w + 42 = 0

Reorder the terms:
42 + 7w + w2 = 0

Solving
42 + 7w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + 7w + -42 + w2 = 0 + -42

Reorder the terms:
42 + -42 + 7w + w2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 7w + w2 = 0 + -42
7w + w2 = 0 + -42

Combine like terms: 0 + -42 = -42
7w + w2 = -42

The w term is 7w.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7w + 12.25 + w2 = -42 + 12.25

Reorder the terms:
12.25 + 7w + w2 = -42 + 12.25

Combine like terms: -42 + 12.25 = -29.75
12.25 + 7w + w2 = -29.75

Factor a perfect square on the left side:
(w + 3.5)(w + 3.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.