(5W+9)(3+W)=0

Solution for (5W+9)(3+W)=0 equation:

Simplifying
(5W + 9)(3 + W) = 0

Reorder the terms:
(9 + 5W)(3 + W) = 0

Multiply (9 + 5W) * (3 + W)
(9(3 + W) + 5W * (3 + W)) = 0
((3 * 9 + W * 9) + 5W * (3 + W)) = 0
((27 + 9W) + 5W * (3 + W)) = 0
(27 + 9W + (3 * 5W + W * 5W)) = 0
(27 + 9W + (15W + 5W2)) = 0

Combine like terms: 9W + 15W = 24W
(27 + 24W + 5W2) = 0

Solving
27 + 24W + 5W2 = 0

Solving for variable 'W'.

Factor a trinomial.
(3 + W)(9 + 5W) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(9 + 5W)' equal to zero and attempt to solve:

Simplifying
9 + 5W = 0

Solving
9 + 5W = 0

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

Add '-9' to each side of the equation.
9 + -9 + 5W = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5W = 0 + -9
5W = 0 + -9

Combine like terms: 0 + -9 = -9
5W = -9

Divide each side by '5'.
W = -1.8

Simplifying
W = -1.8
Solution
W = {-3, -1.8}