g^2-17g+72=0

Solution for g^2-17g+72=0 equation:

Simplifying
g2 + -17g + 72 = 0

Reorder the terms:
72 + -17g + g2 = 0

Solving
72 + -17g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(8 + -1g)(9 + -1g) = 0

Subproblem 1
Set the factor '(8 + -1g)' equal to zero and attempt to solve:

Simplifying
8 + -1g = 0

Solving
8 + -1g = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1g = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1g = 0 + -8
-1g = 0 + -8

Combine like terms: 0 + -8 = -8
-1g = -8

Divide each side by '-1'.
g = 8

Simplifying
g = 8
Subproblem 2
Set the factor '(9 + -1g)' equal to zero and attempt to solve:

Simplifying
9 + -1g = 0

Solving
9 + -1g = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1g = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1g = 0 + -9
-1g = 0 + -9

Combine like terms: 0 + -9 = -9
-1g = -9

Divide each side by '-1'.
g = 9

Simplifying
g = 9
Solution
g = {8, 9}