0=g^2-2g-323

Solution for 0=g^2-2g-323 equation:

Simplifying
0 = g2 + -2g + -323

Reorder the terms:
0 = -323 + -2g + g2

Solving
0 = -323 + -2g + g2

Solving for variable 'g'.

Combine like terms: 0 + 323 = 323
323 + 2g + -1g2 = -323 + -2g + g2 + 323 + 2g + -1g2

Reorder the terms:
323 + 2g + -1g2 = -323 + 323 + -2g + 2g + g2 + -1g2

Combine like terms: -323 + 323 = 0
323 + 2g + -1g2 = 0 + -2g + 2g + g2 + -1g2
323 + 2g + -1g2 = -2g + 2g + g2 + -1g2

Combine like terms: -2g + 2g = 0
323 + 2g + -1g2 = 0 + g2 + -1g2
323 + 2g + -1g2 = g2 + -1g2

Combine like terms: g2 + -1g2 = 0
323 + 2g + -1g2 = 0

Factor a trinomial.
(19 + -1g)(17 + g) = 0

Subproblem 1
Set the factor '(19 + -1g)' equal to zero and attempt to solve:

Simplifying
19 + -1g = 0

Solving
19 + -1g = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1g = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1g = 0 + -19
-1g = 0 + -19

Combine like terms: 0 + -19 = -19
-1g = -19

Divide each side by '-1'.
g = 19

Simplifying
g = 19
Subproblem 2
Set the factor '(17 + g)' equal to zero and attempt to solve:

Simplifying
17 + g = 0

Solving
17 + g = 0

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

Add '-17' to each side of the equation.
17 + -17 + g = 0 + -17

Combine like terms: 17 + -17 = 0
0 + g = 0 + -17
g = 0 + -17

Combine like terms: 0 + -17 = -17
g = -17

Simplifying
g = -17
Solution
g = {19, -17}