-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.
(1 + -1x)(5 + 16x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {1, -0.3125}