14y^2+33y+18=0

Solution for 14y^2+33y+18=0 equation:

Simplifying
14y2 + 33y + 18 = 0

Reorder the terms:
18 + 33y + 14y2 = 0

Solving
18 + 33y + 14y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + 2y)(6 + 7y) = 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 '(6 + 7y)' equal to zero and attempt to solve:

Simplifying
6 + 7y = 0

Solving
6 + 7y = 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 + 7y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7y = 0 + -6
7y = 0 + -6

Combine like terms: 0 + -6 = -6
7y = -6

Divide each side by '7'.
y = -0.8571428571

Simplifying
y = -0.8571428571
Solution
y = {-1.5, -0.8571428571}