w^2+13w+42=2

Solution for w^2+13w+42=2 equation:

Simplifying
w2 + 13w + 42 = 2

Reorder the terms:
42 + 13w + w2 = 2

Solving
42 + 13w + w2 = 2

Solving for variable 'w'.

Reorder the terms:
42 + -2 + 13w + w2 = 2 + -2

Combine like terms: 42 + -2 = 40
40 + 13w + w2 = 2 + -2

Combine like terms: 2 + -2 = 0
40 + 13w + w2 = 0

Factor a trinomial.
(8 + w)(5 + w) = 0

Subproblem 1
Set the factor '(8 + w)' equal to zero and attempt to solve:

Simplifying
8 + w = 0

Solving
8 + w = 0

Move all terms containing w to the left, all other terms to the right.

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

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

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

Simplifying
w = -8
Subproblem 2
Set the factor '(5 + w)' equal to zero and attempt to solve:

Simplifying
5 + w = 0

Solving
5 + w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + w = 0 + -5
w = 0 + -5

Combine like terms: 0 + -5 = -5
w = -5

Simplifying
w = -5
Solution
w = {-8, -5}