g^2-11g+30=0

Solution for g^2-11g+30=0 equation:

Simplifying
g2 + -11g + 30 = 0

Reorder the terms:
30 + -11g + g2 = 0

Solving
30 + -11g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(5 + -1g)(6 + -1g) = 0

Subproblem 1
Set the factor '(5 + -1g)' equal to zero and attempt to solve:

Simplifying
5 + -1g = 0

Solving
5 + -1g = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1g = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1g = 0 + -5
-1g = 0 + -5

Combine like terms: 0 + -5 = -5
-1g = -5

Divide each side by '-1'.
g = 5

Simplifying
g = 5
Subproblem 2
Set the factor '(6 + -1g)' equal to zero and attempt to solve:

Simplifying
6 + -1g = 0

Solving
6 + -1g = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1g = 0 + -6
-1g = 0 + -6

Combine like terms: 0 + -6 = -6
-1g = -6

Divide each side by '-1'.
g = 6

Simplifying
g = 6
Solution
g = {5, 6}