3g^2+8g+4=0

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

Simplifying
3g2 + 8g + 4 = 0

Reorder the terms:
4 + 8g + 3g2 = 0

Solving
4 + 8g + 3g2 = 0

Solving for variable 'g'.

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

Simplifying
2 + 3g = 0

Solving
2 + 3g = 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 + 3g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3g = 0 + -2
3g = 0 + -2

Combine like terms: 0 + -2 = -2
3g = -2

Divide each side by '3'.
g = -0.6666666667

Simplifying
g = -0.6666666667
Solution
g = {-2, -0.6666666667}