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

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

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

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

Multiply (5 + 3y) * (1 + y)
(5(1 + y) + 3y * (1 + y)) = 0
((1 * 5 + y * 5) + 3y * (1 + y)) = 0
((5 + 5y) + 3y * (1 + y)) = 0
(5 + 5y + (1 * 3y + y * 3y)) = 0
(5 + 5y + (3y + 3y2)) = 0

Combine like terms: 5y + 3y = 8y
(5 + 8y + 3y2) = 0

Solving
5 + 8y + 3y2 = 0

Solving for variable 'y'.

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

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

Simplifying
5 + 3y = 0

Solving
5 + 3y = 0

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

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

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

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

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

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

Simplifying
1 + y = 0

Solving
1 + y = 0

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

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

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

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

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