3y^2+13y+10=0

Solution for 3y^2+13y+10=0 equation:

Simplifying
3y2 + 13y + 10 = 0

Reorder the terms:
10 + 13y + 3y2 = 0

Solving
10 + 13y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(10 + 3y)(1 + y) = 0

Subproblem 1
Set the factor '(10 + 3y)' equal to zero and attempt to solve:

Simplifying
10 + 3y = 0

Solving
10 + 3y = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = 0 + -10
3y = 0 + -10

Combine like terms: 0 + -10 = -10
3y = -10

Divide each side by '3'.
y = -3.333333333

Simplifying
y = -3.333333333
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 = {-3.333333333, -1}