10y^2+39y+36=0

Solution for 10y^2+39y+36=0 equation:

Simplifying
10y2 + 39y + 36 = 0

Reorder the terms:
36 + 39y + 10y2 = 0

Solving
36 + 39y + 10y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(12 + 5y)(3 + 2y) = 0

Subproblem 1
Set the factor '(12 + 5y)' equal to zero and attempt to solve:

Simplifying
12 + 5y = 0

Solving
12 + 5y = 0

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

Add '-12' to each side of the equation.
12 + -12 + 5y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5y = 0 + -12
5y = 0 + -12

Combine like terms: 0 + -12 = -12
5y = -12

Divide each side by '5'.
y = -2.4

Simplifying
y = -2.4
Subproblem 2
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
Solution
y = {-2.4, -1.5}