18y^2+41y+21=0

Solution for 18y^2+41y+21=0 equation:

Simplifying
18y2 + 41y + 21 = 0

Reorder the terms:
21 + 41y + 18y2 = 0

Solving
21 + 41y + 18y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + 2y)(7 + 9y) = 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 '(7 + 9y)' equal to zero and attempt to solve:

Simplifying
7 + 9y = 0

Solving
7 + 9y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 9y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 9y = 0 + -7
9y = 0 + -7

Combine like terms: 0 + -7 = -7
9y = -7

Divide each side by '9'.
y = -0.7777777778

Simplifying
y = -0.7777777778
Solution
y = {-1.5, -0.7777777778}