15y^2+31y+2=0

Solution for 15y^2+31y+2=0 equation:

Simplifying
15y2 + 31y + 2 = 0

Reorder the terms:
2 + 31y + 15y2 = 0

Solving
2 + 31y + 15y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + y)(1 + 15y) = 0

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

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Subproblem 2
Set the factor '(1 + 15y)' equal to zero and attempt to solve:

Simplifying
1 + 15y = 0

Solving
1 + 15y = 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 + 15y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 15y = 0 + -1
15y = 0 + -1

Combine like terms: 0 + -1 = -1
15y = -1

Divide each side by '15'.
y = -0.06666666667

Simplifying
y = -0.06666666667
Solution
y = {-2, -0.06666666667}