16u^2+13u-3=0

Solution for 16u^2+13u-3=0 equation:

Simplifying
16u2 + 13u + -3 = 0

Reorder the terms:
-3 + 13u + 16u2 = 0

Solving
-3 + 13u + 16u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-1 + -1u)(3 + -16u) = 0

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

Simplifying
-1 + -1u = 0

Solving
-1 + -1u = 0

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

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

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

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

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

Simplifying
u = -1
Subproblem 2
Set the factor '(3 + -16u)' equal to zero and attempt to solve:

Simplifying
3 + -16u = 0

Solving
3 + -16u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -16u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -16u = 0 + -3
-16u = 0 + -3

Combine like terms: 0 + -3 = -3
-16u = -3

Divide each side by '-16'.
u = 0.1875

Simplifying
u = 0.1875
Solution
u = {-1, 0.1875}