x^2-11x+30.25=0.25

Solution for x^2-11x+30.25=0.25 equation:

Simplifying
x2 + -11x + 30.25 = 0.25

Reorder the terms:
30.25 + -11x + x2 = 0.25

Solving
30.25 + -11x + x2 = 0.25

Solving for variable 'x'.

Reorder the terms:
30.25 + -0.25 + -11x + x2 = 0.25 + -0.25

Combine like terms: 30.25 + -0.25 = 30
30 + -11x + x2 = 0.25 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
30 + -11x + x2 = 0.00

Factor a trinomial.
(5 + -1x)(6 + -1x) = 0.00

Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {5, 6}