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

Solution for (6-w)(5w+9)=0 equation:

Simplifying
(6 + -1w)(5w + 9) = 0

Reorder the terms:
(6 + -1w)(9 + 5w) = 0

Multiply (6 + -1w) * (9 + 5w)
(6(9 + 5w) + -1w * (9 + 5w)) = 0
((9 * 6 + 5w * 6) + -1w * (9 + 5w)) = 0
((54 + 30w) + -1w * (9 + 5w)) = 0
(54 + 30w + (9 * -1w + 5w * -1w)) = 0
(54 + 30w + (-9w + -5w2)) = 0

Combine like terms: 30w + -9w = 21w
(54 + 21w + -5w2) = 0

Solving
54 + 21w + -5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(6 + -1w)(9 + 5w) = 0

Subproblem 1
Set the factor '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
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 = {6, -1.8}