8g^2+19g+6=0

Solution for 8g^2+19g+6=0 equation:

Simplifying
8g2 + 19g + 6 = 0

Reorder the terms:
6 + 19g + 8g2 = 0

Solving
6 + 19g + 8g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(2 + g)(3 + 8g) = 0

Subproblem 1
Set the factor '(2 + g)' equal to zero and attempt to solve:

Simplifying
2 + g = 0

Solving
2 + g = 0

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

Add '-2' to each side of the equation.
2 + -2 + g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + g = 0 + -2
g = 0 + -2

Combine like terms: 0 + -2 = -2
g = -2

Simplifying
g = -2
Subproblem 2
Set the factor '(3 + 8g)' equal to zero and attempt to solve:

Simplifying
3 + 8g = 0

Solving
3 + 8g = 0

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

Add '-3' to each side of the equation.
3 + -3 + 8g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8g = 0 + -3
8g = 0 + -3

Combine like terms: 0 + -3 = -3
8g = -3

Divide each side by '8'.
g = -0.375

Simplifying
g = -0.375
Solution
g = {-2, -0.375}