x^2-17x+72.25=20.25

Solution for x^2-17x+72.25=20.25 equation:

Simplifying
x2 + -17x + 72.25 = 20.25

Reorder the terms:
72.25 + -17x + x2 = 20.25

Solving
72.25 + -17x + x2 = 20.25

Solving for variable 'x'.

Reorder the terms:
72.25 + -20.25 + -17x + x2 = 20.25 + -20.25

Combine like terms: 72.25 + -20.25 = 52
52 + -17x + x2 = 20.25 + -20.25

Combine like terms: 20.25 + -20.25 = 0.00
52 + -17x + x2 = 0.00

Factor a trinomial.
(4 + -1x)(13 + -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 '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {4, 13}