g^2-12g+20=0

Solution for g^2-12g+20=0 equation:

Simplifying
g2 + -12g + 20 = 0

Reorder the terms:
20 + -12g + g2 = 0

Solving
20 + -12g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(2 + -1g)(10 + -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 '(10 + -1g)' equal to zero and attempt to solve:

Simplifying
10 + -1g = 0

Solving
10 + -1g = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1g = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1g = 0 + -10
-1g = 0 + -10

Combine like terms: 0 + -10 = -10
-1g = -10

Divide each side by '-1'.
g = 10

Simplifying
g = 10
Solution
g = {2, 10}