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

Solution for (5w+9)(1-w)=0 equation:

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

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

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

Combine like terms: -9w + 5w = -4w
(9 + -4w + -5w2) = 0

Solving
9 + -4w + -5w2 = 0

Solving for variable 'w'.

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

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

Simplifying
1 + -1w = 0

Solving
1 + -1w = 0

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

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

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

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

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

Simplifying
w = 1
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 = {1, -1.8}