9y^2+13y+4=0

Solution for 9y^2+13y+4=0 equation:

Simplifying
9y2 + 13y + 4 = 0

Reorder the terms:
4 + 13y + 9y2 = 0

Solving
4 + 13y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + y)(4 + 9y) = 0

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

Simplifying
1 + y = 0

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

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

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

Simplifying
y = -1
Subproblem 2
Set the factor '(4 + 9y)' equal to zero and attempt to solve:

Simplifying
4 + 9y = 0

Solving
4 + 9y = 0

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

Add '-4' to each side of the equation.
4 + -4 + 9y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9y = 0 + -4
9y = 0 + -4

Combine like terms: 0 + -4 = -4
9y = -4

Divide each side by '9'.
y = -0.4444444444

Simplifying
y = -0.4444444444
Solution
y = {-1, -0.4444444444}