6y^2+3y+8y+4=0

Solution for 6y^2+3y+8y+4=0 equation:

Simplifying
6y2 + 3y + 8y + 4 = 0

Reorder the terms:
4 + 3y + 8y + 6y2 = 0

Combine like terms: 3y + 8y = 11y
4 + 11y + 6y2 = 0

Solving
4 + 11y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + 3y)(1 + 2y) = 0

Subproblem 1
Set the factor '(4 + 3y)' equal to zero and attempt to solve:

Simplifying
4 + 3y = 0

Solving
4 + 3y = 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 + 3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3y = 0 + -4
3y = 0 + -4

Combine like terms: 0 + -4 = -4
3y = -4

Divide each side by '3'.
y = -1.333333333

Simplifying
y = -1.333333333
Subproblem 2
Set the factor '(1 + 2y)' equal to zero and attempt to solve:

Simplifying
1 + 2y = 0

Solving
1 + 2y = 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 + 2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2y = 0 + -1
2y = 0 + -1

Combine like terms: 0 + -1 = -1
2y = -1

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5
Solution
y = {-1.333333333, -0.5}