72g^2-43g+6=0

Solution for 72g^2-43g+6=0 equation:

Simplifying
72g2 + -43g + 6 = 0

Reorder the terms:
6 + -43g + 72g2 = 0

Solving
6 + -43g + 72g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(2 + -9g)(3 + -8g) = 0

Subproblem 1
Set the factor '(2 + -9g)' equal to zero and attempt to solve:

Simplifying
2 + -9g = 0

Solving
2 + -9g = 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 + -9g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9g = 0 + -2
-9g = 0 + -2

Combine like terms: 0 + -2 = -2
-9g = -2

Divide each side by '-9'.
g = 0.2222222222

Simplifying
g = 0.2222222222
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 = {0.2222222222, 0.375}