u^2-26u+160=0

Solution for u^2-26u+160=0 equation:

Simplifying
u2 + -26u + 160 = 0

Reorder the terms:
160 + -26u + u2 = 0

Solving
160 + -26u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(10 + -1u)(16 + -1u) = 0

Subproblem 1
Set the factor '(10 + -1u)' equal to zero and attempt to solve:

Simplifying
10 + -1u = 0

Solving
10 + -1u = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1u = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1u = 0 + -10
-1u = 0 + -10

Combine like terms: 0 + -10 = -10
-1u = -10

Divide each side by '-1'.
u = 10

Simplifying
u = 10
Subproblem 2
Set the factor '(16 + -1u)' equal to zero and attempt to solve:

Simplifying
16 + -1u = 0

Solving
16 + -1u = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1u = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1u = 0 + -16
-1u = 0 + -16

Combine like terms: 0 + -16 = -16
-1u = -16

Divide each side by '-1'.
u = 16

Simplifying
u = 16
Solution
u = {10, 16}