25u^2-74u+49=0

Solution for 25u^2-74u+49=0 equation:

Simplifying
25u2 + -74u + 49 = 0

Reorder the terms:
49 + -74u + 25u2 = 0

Solving
49 + -74u + 25u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + -1u)(49 + -25u) = 0

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 '(49 + -25u)' equal to zero and attempt to solve:

Simplifying
49 + -25u = 0

Solving
49 + -25u = 0

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

Add '-49' to each side of the equation.
49 + -49 + -25u = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -25u = 0 + -49
-25u = 0 + -49

Combine like terms: 0 + -49 = -49
-25u = -49

Divide each side by '-25'.
u = 1.96

Simplifying
u = 1.96
Solution
u = {1, 1.96}