25x^2-254x+553=0

Solution for 25x^2-254x+553=0 equation:

Simplifying
25x2 + -254x + 553 = 0

Reorder the terms:
553 + -254x + 25x2 = 0

Solving
553 + -254x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(79 + -25x)(7 + -1x) = 0

Subproblem 1
Set the factor '(79 + -25x)' equal to zero and attempt to solve:

Simplifying
79 + -25x = 0

Solving
79 + -25x = 0

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

Add '-79' to each side of the equation.
79 + -79 + -25x = 0 + -79

Combine like terms: 79 + -79 = 0
0 + -25x = 0 + -79
-25x = 0 + -79

Combine like terms: 0 + -79 = -79
-25x = -79

Divide each side by '-25'.
x = 3.16

Simplifying
x = 3.16
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {3.16, 7}