16x^2-11x-5=0

Solution for 16x^2-11x-5=0 equation:

Simplifying
16x2 + -11x + -5 = 0

Reorder the terms:
-5 + -11x + 16x2 = 0

Solving
-5 + -11x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -16x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -16x)' equal to zero and attempt to solve:

Simplifying
-5 + -16x = 0

Solving
-5 + -16x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -16x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -16x = 0 + 5
-16x = 0 + 5

Combine like terms: 0 + 5 = 5
-16x = 5

Divide each side by '-16'.
x = -0.3125

Simplifying
x = -0.3125
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-0.3125, 1}