(2W+7)(3+W)=0

Solution for (2W+7)(3+W)=0 equation:

Simplifying
(2W + 7)(3 + W) = 0

Reorder the terms:
(7 + 2W)(3 + W) = 0

Multiply (7 + 2W) * (3 + W)
(7(3 + W) + 2W * (3 + W)) = 0
((3 * 7 + W * 7) + 2W * (3 + W)) = 0
((21 + 7W) + 2W * (3 + W)) = 0
(21 + 7W + (3 * 2W + W * 2W)) = 0
(21 + 7W + (6W + 2W2)) = 0

Combine like terms: 7W + 6W = 13W
(21 + 13W + 2W2) = 0

Solving
21 + 13W + 2W2 = 0

Solving for variable 'W'.

Factor a trinomial.
(7 + 2W)(3 + W) = 0

Subproblem 1
Set the factor '(7 + 2W)' equal to zero and attempt to solve:

Simplifying
7 + 2W = 0

Solving
7 + 2W = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2W = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2W = 0 + -7
2W = 0 + -7

Combine like terms: 0 + -7 = -7
2W = -7

Divide each side by '2'.
W = -3.5

Simplifying
W = -3.5
Subproblem 2
Set the factor '(3 + W)' equal to zero and attempt to solve:

Simplifying
3 + W = 0

Solving
3 + W = 0

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

Add '-3' to each side of the equation.
3 + -3 + W = 0 + -3

Combine like terms: 3 + -3 = 0
0 + W = 0 + -3
W = 0 + -3

Combine like terms: 0 + -3 = -3
W = -3

Simplifying
W = -3
Solution
W = {-3.5, -3}