8u^2-53u+30=

Solution for 8u^2-53u+30= equation:

Simplifying
8u2 + -53u + 30 = 0

Reorder the terms:
30 + -53u + 8u2 = 0

Solving
30 + -53u + 8u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(5 + -8u)(6 + -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 '(6 + -1u)' equal to zero and attempt to solve:

Simplifying
6 + -1u = 0

Solving
6 + -1u = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1u = 0 + -6
-1u = 0 + -6

Combine like terms: 0 + -6 = -6
-1u = -6

Divide each side by '-1'.
u = 6

Simplifying
u = 6
Solution
u = {0.625, 6}