9u^2-52u+64=0

Solution for 9u^2-52u+64=0 equation:

Simplifying
9u2 + -52u + 64 = 0

Reorder the terms:
64 + -52u + 9u2 = 0

Solving
64 + -52u + 9u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(16 + -9u)(4 + -1u) = 0

Subproblem 1
Set the factor '(16 + -9u)' equal to zero and attempt to solve:

Simplifying
16 + -9u = 0

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

Combine like terms: 16 + -16 = 0
0 + -9u = 0 + -16
-9u = 0 + -16

Combine like terms: 0 + -16 = -16
-9u = -16

Divide each side by '-9'.
u = 1.777777778

Simplifying
u = 1.777777778
Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve:

Simplifying
4 + -1u = 0

Solving
4 + -1u = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1u = 0 + -4

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

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

Divide each side by '-1'.
u = 4

Simplifying
u = 4
Solution
u = {1.777777778, 4}