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

Solution for (1-w)(5w+3)=0 equation:

Simplifying
(1 + -1w)(5w + 3) = 0

Reorder the terms:
(1 + -1w)(3 + 5w) = 0

Multiply (1 + -1w) * (3 + 5w)
(1(3 + 5w) + -1w * (3 + 5w)) = 0
((3 * 1 + 5w * 1) + -1w * (3 + 5w)) = 0
((3 + 5w) + -1w * (3 + 5w)) = 0
(3 + 5w + (3 * -1w + 5w * -1w)) = 0
(3 + 5w + (-3w + -5w2)) = 0

Combine like terms: 5w + -3w = 2w
(3 + 2w + -5w2) = 0

Solving
3 + 2w + -5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(1 + -1w)(3 + 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 '(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 = {1, -0.6}