2y^2+17y+15=0

Solution for 2y^2+17y+15=0 equation:

Simplifying
2y2 + 17y + 15 = 0

Reorder the terms:
15 + 17y + 2y2 = 0

Solving
15 + 17y + 2y2 = 0

Solving for variable 'y'.

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

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

Simplifying
15 + 2y = 0

Solving
15 + 2y = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2y = 0 + -15
2y = 0 + -15

Combine like terms: 0 + -15 = -15
2y = -15

Divide each side by '2'.
y = -7.5

Simplifying
y = -7.5
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 = {-7.5, -1}