48u^2-70u+25=0

Solution for 48u^2-70u+25=0 equation:

Simplifying
48u2 + -70u + 25 = 0

Reorder the terms:
25 + -70u + 48u2 = 0

Solving
25 + -70u + 48u2 = 0

Solving for variable 'u'.

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

Simplifying
5 + -6u = 0

Solving
5 + -6u = 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 + -6u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6u = 0 + -5
-6u = 0 + -5

Combine like terms: 0 + -5 = -5
-6u = -5

Divide each side by '-6'.
u = 0.8333333333

Simplifying
u = 0.8333333333
Solution
u = {0.625, 0.8333333333}