(w+5)(w+2)=

Solution for (w+5)(w+2)= equation:

Simplifying
(w + 5)(w + 2) = 0

Reorder the terms:
(5 + w)(w + 2) = 0

Reorder the terms:
(5 + w)(2 + w) = 0

Multiply (5 + w) * (2 + w)
(5(2 + w) + w(2 + w)) = 0
((2 * 5 + w * 5) + w(2 + w)) = 0
((10 + 5w) + w(2 + w)) = 0
(10 + 5w + (2 * w + w * w)) = 0
(10 + 5w + (2w + w2)) = 0

Combine like terms: 5w + 2w = 7w
(10 + 7w + w2) = 0

Solving
10 + 7w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(5 + w)(2 + w) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(2 + w)' equal to zero and attempt to solve:

Simplifying
2 + w = 0

Solving
2 + w = 0

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

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

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

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

Simplifying
w = -2
Solution
w = {-5, -2}