16g^2-6g-1=0

Solution for 16g^2-6g-1=0 equation:

Simplifying
16g2 + -6g + -1 = 0

Reorder the terms:
-1 + -6g + 16g2 = 0

Solving
-1 + -6g + 16g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-1 + -8g)(1 + -2g) = 0

Subproblem 1
Set the factor '(-1 + -8g)' equal to zero and attempt to solve:

Simplifying
-1 + -8g = 0

Solving
-1 + -8g = 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 + -8g = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8g = 0 + 1
-8g = 0 + 1

Combine like terms: 0 + 1 = 1
-8g = 1

Divide each side by '-8'.
g = -0.125

Simplifying
g = -0.125
Subproblem 2
Set the factor '(1 + -2g)' equal to zero and attempt to solve:

Simplifying
1 + -2g = 0

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

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

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

Divide each side by '-2'.
g = 0.5

Simplifying
g = 0.5
Solution
g = {-0.125, 0.5}