6g^2+7g+2=

Solution for 6g^2+7g+2= equation:

Simplifying
6g2 + 7g + 2 = 0

Reorder the terms:
2 + 7g + 6g2 = 0

Solving
2 + 7g + 6g2 = 0

Solving for variable 'g'.

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

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

Simplifying
1 + 2g = 0

Solving
1 + 2g = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2g = 0 + -1

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

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

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

Simplifying
g = -0.5
Solution
g = {-0.6666666667, -0.5}