(6y+19)(5y+6)=0

Solution for (6y+19)(5y+6)=0 equation:

Simplifying
(6y + 19)(5y + 6) = 0

Reorder the terms:
(19 + 6y)(5y + 6) = 0

Reorder the terms:
(19 + 6y)(6 + 5y) = 0

Multiply (19 + 6y) * (6 + 5y)
(19(6 + 5y) + 6y * (6 + 5y)) = 0
((6 * 19 + 5y * 19) + 6y * (6 + 5y)) = 0
((114 + 95y) + 6y * (6 + 5y)) = 0
(114 + 95y + (6 * 6y + 5y * 6y)) = 0
(114 + 95y + (36y + 30y2)) = 0

Combine like terms: 95y + 36y = 131y
(114 + 131y + 30y2) = 0

Solving
114 + 131y + 30y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(19 + 6y)(6 + 5y) = 0

Subproblem 1
Set the factor '(19 + 6y)' equal to zero and attempt to solve:

Simplifying
19 + 6y = 0

Solving
19 + 6y = 0

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

Add '-19' to each side of the equation.
19 + -19 + 6y = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 6y = 0 + -19
6y = 0 + -19

Combine like terms: 0 + -19 = -19
6y = -19

Divide each side by '6'.
y = -3.166666667

Simplifying
y = -3.166666667
Subproblem 2
Set the factor '(6 + 5y)' equal to zero and attempt to solve:

Simplifying
6 + 5y = 0

Solving
6 + 5y = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 0 + -6
5y = 0 + -6

Combine like terms: 0 + -6 = -6
5y = -6

Divide each side by '5'.
y = -1.2

Simplifying
y = -1.2
Solution
y = {-3.166666667, -1.2}