(3W+5)(1+W)=0

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

Simplifying
(3W + 5)(1 + W) = 0

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

Multiply (5 + 3W) * (1 + W)
(5(1 + W) + 3W * (1 + W)) = 0
((1 * 5 + W * 5) + 3W * (1 + W)) = 0
((5 + 5W) + 3W * (1 + W)) = 0
(5 + 5W + (1 * 3W + W * 3W)) = 0
(5 + 5W + (3W + 3W2)) = 0

Combine like terms: 5W + 3W = 8W
(5 + 8W + 3W2) = 0

Solving
5 + 8W + 3W2 = 0

Solving for variable 'W'.

Factor a trinomial.
(5 + 3W)(1 + W) = 0

Subproblem 1
Set the factor '(5 + 3W)' equal to zero and attempt to solve:

Simplifying
5 + 3W = 0

Solving
5 + 3W = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3W = 0 + -5

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

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

Divide each side by '3'.
W = -1.666666667

Simplifying
W = -1.666666667
Subproblem 2
Set the factor '(1 + W)' equal to zero and attempt to solve:

Simplifying
1 + W = 0

Solving
1 + W = 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 + W = 0 + -1

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

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

Simplifying
W = -1
Solution
W = {-1.666666667, -1}