4u^2-41u+100=0

Solution for 4u^2-41u+100=0 equation:

Simplifying
4u2 + -41u + 100 = 0

Reorder the terms:
100 + -41u + 4u2 = 0

Solving
100 + -41u + 4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(4 + -1u)(25 + -4u) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(25 + -4u)' equal to zero and attempt to solve:

Simplifying
25 + -4u = 0

Solving
25 + -4u = 0

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

Add '-25' to each side of the equation.
25 + -25 + -4u = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -4u = 0 + -25
-4u = 0 + -25

Combine like terms: 0 + -25 = -25
-4u = -25

Divide each side by '-4'.
u = 6.25

Simplifying
u = 6.25
Solution
u = {4, 6.25}