g^2-22g+40=0

Solution for g^2-22g+40=0 equation:

Simplifying
g2 + -22g + 40 = 0

Reorder the terms:
40 + -22g + g2 = 0

Solving
40 + -22g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(2 + -1g)(20 + -1g) = 0

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

Simplifying
2 + -1g = 0

Solving
2 + -1g = 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 + -1g = 0 + -2

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

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

Divide each side by '-1'.
g = 2

Simplifying
g = 2
Subproblem 2
Set the factor '(20 + -1g)' equal to zero and attempt to solve:

Simplifying
20 + -1g = 0

Solving
20 + -1g = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1g = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1g = 0 + -20
-1g = 0 + -20

Combine like terms: 0 + -20 = -20
-1g = -20

Divide each side by '-1'.
g = 20

Simplifying
g = 20
Solution
g = {2, 20}