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

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

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

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

Multiply (3 + 5w) * (9 + w)
(3(9 + w) + 5w * (9 + w)) = 0
((9 * 3 + w * 3) + 5w * (9 + w)) = 0
((27 + 3w) + 5w * (9 + w)) = 0
(27 + 3w + (9 * 5w + w * 5w)) = 0
(27 + 3w + (45w + 5w2)) = 0

Combine like terms: 3w + 45w = 48w
(27 + 48w + 5w2) = 0

Solving
27 + 48w + 5w2 = 0

Solving for variable 'w'.

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

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

Simplifying
9 + w = 0

Solving
9 + w = 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 + w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + w = 0 + -9
w = 0 + -9

Combine like terms: 0 + -9 = -9
w = -9

Simplifying
w = -9
Subproblem 2
Set the factor '(3 + 5w)' equal to zero and attempt to solve:

Simplifying
3 + 5w = 0

Solving
3 + 5w = 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 + 5w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5w = 0 + -3
5w = 0 + -3

Combine like terms: 0 + -3 = -3
5w = -3

Divide each side by '5'.
w = -0.6

Simplifying
w = -0.6
Solution
w = {-9, -0.6}