2g^2-17g-19=0

Solution for 2g^2-17g-19=0 equation:

Simplifying
2g2 + -17g + -19 = 0

Reorder the terms:
-19 + -17g + 2g2 = 0

Solving
-19 + -17g + 2g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-1 + -1g)(19 + -2g) = 0

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

Simplifying
-1 + -1g = 0

Solving
-1 + -1g = 0

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

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

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

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

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

Simplifying
g = -1
Subproblem 2
Set the factor '(19 + -2g)' equal to zero and attempt to solve:

Simplifying
19 + -2g = 0

Solving
19 + -2g = 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 + -2g = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -2g = 0 + -19
-2g = 0 + -19

Combine like terms: 0 + -19 = -19
-2g = -19

Divide each side by '-2'.
g = 9.5

Simplifying
g = 9.5
Solution
g = {-1, 9.5}