32u^2-36u+9=0

Solution for 32u^2-36u+9=0 equation:

Simplifying
32u2 + -36u + 9 = 0

Reorder the terms:
9 + -36u + 32u2 = 0

Solving
9 + -36u + 32u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(3 + -8u)(3 + -4u) = 0

Subproblem 1
Set the factor '(3 + -8u)' equal to zero and attempt to solve:

Simplifying
3 + -8u = 0

Solving
3 + -8u = 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 + -8u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8u = 0 + -3
-8u = 0 + -3

Combine like terms: 0 + -3 = -3
-8u = -3

Divide each side by '-8'.
u = 0.375

Simplifying
u = 0.375
Subproblem 2
Set the factor '(3 + -4u)' equal to zero and attempt to solve:

Simplifying
3 + -4u = 0

Solving
3 + -4u = 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 + -4u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4u = 0 + -3
-4u = 0 + -3

Combine like terms: 0 + -3 = -3
-4u = -3

Divide each side by '-4'.
u = 0.75

Simplifying
u = 0.75
Solution
u = {0.375, 0.75}