-16y^2-10y-1=0

Solution for -16y^2-10y-1=0 equation:

Simplifying
-16y2 + -10y + -1 = 0

Reorder the terms:
-1 + -10y + -16y2 = 0

Solving
-1 + -10y + -16y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 10y + 16y2) = 0

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

Ignore the factor -1.
Subproblem 1
Set the factor '(1 + 2y)' equal to zero and attempt to solve:

Simplifying
1 + 2y = 0

Solving
1 + 2y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2y = 0 + -1

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

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

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

Simplifying
y = -0.5
Subproblem 2
Set the factor '(1 + 8y)' equal to zero and attempt to solve:

Simplifying
1 + 8y = 0

Solving
1 + 8y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 8y = 0 + -1

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

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

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

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