2u^2-52u+50=0

Solution for 2u^2-52u+50=0 equation:

Simplifying
2u2 + -52u + 50 = 0

Reorder the terms:
50 + -52u + 2u2 = 0

Solving
50 + -52u + 2u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -26u + u2) = 0

Factor a trinomial.
2((1 + -1u)(25 + -1u)) = 0

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

Simplifying
1 + -1u = 0

Solving
1 + -1u = 0

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

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

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

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

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

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

Simplifying
25 + -1u = 0

Solving
25 + -1u = 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 + -1u = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1u = 0 + -25
-1u = 0 + -25

Combine like terms: 0 + -25 = -25
-1u = -25

Divide each side by '-1'.
u = 25

Simplifying
u = 25
Solution
u = {1, 25}