g^2-8g+20=g

Solution for g^2-8g+20=g equation:

Simplifying
g2 + -8g + 20 = g

Reorder the terms:
20 + -8g + g2 = g

Solving
20 + -8g + g2 = g

Solving for variable 'g'.

Reorder the terms:
20 + -8g + -1g + g2 = g + -1g

Combine like terms: -8g + -1g = -9g
20 + -9g + g2 = g + -1g

Combine like terms: g + -1g = 0
20 + -9g + g2 = 0

Factor a trinomial.
(4 + -1g)(5 + -1g) = 0

Subproblem 1
Set the factor '(4 + -1g)' equal to zero and attempt to solve:

Simplifying
4 + -1g = 0

Solving
4 + -1g = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1g = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1g = 0 + -4
-1g = 0 + -4

Combine like terms: 0 + -4 = -4
-1g = -4

Divide each side by '-1'.
g = 4

Simplifying
g = 4
Subproblem 2
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
Solution
g = {4, 5}