16u^2-257u+16=0

Solution for 16u^2-257u+16=0 equation:

Simplifying
16u2 + -257u + 16 = 0

Reorder the terms:
16 + -257u + 16u2 = 0

Solving
16 + -257u + 16u2 = 0

Solving for variable 'u'.

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

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

Simplifying
1 + -16u = 0

Solving
1 + -16u = 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 + -16u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -16u = 0 + -1
-16u = 0 + -1

Combine like terms: 0 + -1 = -1
-16u = -1

Divide each side by '-16'.
u = 0.0625

Simplifying
u = 0.0625
Subproblem 2
Set the factor '(16 + -1u)' equal to zero and attempt to solve:

Simplifying
16 + -1u = 0

Solving
16 + -1u = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1u = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1u = 0 + -16
-1u = 0 + -16

Combine like terms: 0 + -16 = -16
-1u = -16

Divide each side by '-1'.
u = 16

Simplifying
u = 16
Solution
u = {0.0625, 16}