16u^2-32u-9=0

Solution for 16u^2-32u-9=0 equation:

Simplifying
16u2 + -32u + -9 = 0

Reorder the terms:
-9 + -32u + 16u2 = 0

Solving
-9 + -32u + 16u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-1 + -4u)(9 + -4u) = 0

Subproblem 1
Set the factor '(-1 + -4u)' equal to zero and attempt to solve:

Simplifying
-1 + -4u = 0

Solving
-1 + -4u = 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 + -4u = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4u = 0 + 1
-4u = 0 + 1

Combine like terms: 0 + 1 = 1
-4u = 1

Divide each side by '-4'.
u = -0.25

Simplifying
u = -0.25
Subproblem 2
Set the factor '(9 + -4u)' equal to zero and attempt to solve:

Simplifying
9 + -4u = 0

Solving
9 + -4u = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4u = 0 + -9
-4u = 0 + -9

Combine like terms: 0 + -9 = -9
-4u = -9

Divide each side by '-4'.
u = 2.25

Simplifying
u = 2.25
Solution
u = {-0.25, 2.25}