8u^2-13u+5=0

Solution for 8u^2-13u+5=0 equation:

Simplifying
8u2 + -13u + 5 = 0

Reorder the terms:
5 + -13u + 8u2 = 0

Solving
5 + -13u + 8u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(5 + -8u)(1 + -1u) = 0

Subproblem 1
Set the factor '(5 + -8u)' equal to zero and attempt to solve:

Simplifying
5 + -8u = 0

Solving
5 + -8u = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8u = 0 + -5
-8u = 0 + -5

Combine like terms: 0 + -5 = -5
-8u = -5

Divide each side by '-8'.
u = 0.625

Simplifying
u = 0.625
Subproblem 2
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
Solution
u = {0.625, 1}