3g^2+8g-3=0

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

Simplifying
3g2 + 8g + -3 = 0

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

Solving
-3 + 8g + 3g2 = 0

Solving for variable 'g'.

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

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

Simplifying
-3 + -1g = 0

Solving
-3 + -1g = 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 + -1g = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1g = 0 + 3
-1g = 0 + 3

Combine like terms: 0 + 3 = 3
-1g = 3

Divide each side by '-1'.
g = -3

Simplifying
g = -3
Subproblem 2
Set the factor '(1 + -3g)' equal to zero and attempt to solve:

Simplifying
1 + -3g = 0

Solving
1 + -3g = 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 + -3g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3g = 0 + -1
-3g = 0 + -1

Combine like terms: 0 + -1 = -1
-3g = -1

Divide each side by '-3'.
g = 0.3333333333

Simplifying
g = 0.3333333333
Solution
g = {-3, 0.3333333333}