x^2-9x+20.25=0.25

Solution for x^2-9x+20.25=0.25 equation:

Simplifying
x2 + -9x + 20.25 = 0.25

Reorder the terms:
20.25 + -9x + x2 = 0.25

Solving
20.25 + -9x + x2 = 0.25

Solving for variable 'x'.

Reorder the terms:
20.25 + -0.25 + -9x + x2 = 0.25 + -0.25

Combine like terms: 20.25 + -0.25 = 20
20 + -9x + x2 = 0.25 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
20 + -9x + x2 = 0.00

Factor a trinomial.
(4 + -1x)(5 + -1x) = 0.00

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
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
Solution
x = {4, 5}