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

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

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

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

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

Combine like terms: 45w + -3w = 42w
(-27 + 42w + 5w2) = 0

Solving
-27 + 42w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-9 + -1w)(3 + -5w) = 0

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

Simplifying
-9 + -1w = 0

Solving
-9 + -1w = 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 + -1w = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1w = 0 + 9
-1w = 0 + 9

Combine like terms: 0 + 9 = 9
-1w = 9

Divide each side by '-1'.
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}