50=u^2-5u

Solution for 50=u^2-5u equation:

Simplifying
50 = u2 + -5u

Reorder the terms:
50 = -5u + u2

Solving
50 = -5u + u2

Solving for variable 'u'.

Reorder the terms:
50 + 5u + -1u2 = -5u + 5u + u2 + -1u2

Combine like terms: -5u + 5u = 0
50 + 5u + -1u2 = 0 + u2 + -1u2
50 + 5u + -1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
50 + 5u + -1u2 = 0

Factor a trinomial.
(10 + -1u)(5 + u) = 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 '(5 + u)' equal to zero and attempt to solve:

Simplifying
5 + u = 0

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

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

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

Simplifying
u = -5
Solution
u = {10, -5}