2y(5y+1)=-15y-3

Solution for 2y(5y+1)=-15y-3 equation:

Simplifying
2y(5y + 1) = -15y + -3

Reorder the terms:
2y(1 + 5y) = -15y + -3
(1 * 2y + 5y * 2y) = -15y + -3
(2y + 10y2) = -15y + -3

Reorder the terms:
2y + 10y2 = -3 + -15y

Solving
2y + 10y2 = -3 + -15y

Solving for variable 'y'.

Reorder the terms:
3 + 2y + 15y + 10y2 = -3 + -15y + 3 + 15y

Combine like terms: 2y + 15y = 17y
3 + 17y + 10y2 = -3 + -15y + 3 + 15y

Reorder the terms:
3 + 17y + 10y2 = -3 + 3 + -15y + 15y

Combine like terms: -3 + 3 = 0
3 + 17y + 10y2 = 0 + -15y + 15y
3 + 17y + 10y2 = -15y + 15y

Combine like terms: -15y + 15y = 0
3 + 17y + 10y2 = 0

Factor a trinomial.
(3 + 2y)(1 + 5y) = 0

Subproblem 1
Set the factor '(3 + 2y)' equal to zero and attempt to solve:

Simplifying
3 + 2y = 0

Solving
3 + 2y = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = 0 + -3
2y = 0 + -3

Combine like terms: 0 + -3 = -3
2y = -3

Divide each side by '2'.
y = -1.5

Simplifying
y = -1.5
Subproblem 2
Set the factor '(1 + 5y)' equal to zero and attempt to solve:

Simplifying
1 + 5y = 0

Solving
1 + 5y = 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 + 5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5y = 0 + -1
5y = 0 + -1

Combine like terms: 0 + -1 = -1
5y = -1

Divide each side by '5'.
y = -0.2

Simplifying
y = -0.2
Solution
y = {-1.5, -0.2}