x^2-17x+72.25=-72+72.25

Solution for x^2-17x+72.25=-72+72.25 equation:

Simplifying
x2 + -17x + 72.25 = -72 + 72.25

Reorder the terms:
72.25 + -17x + x2 = -72 + 72.25

Combine like terms: -72 + 72.25 = 0.25
72.25 + -17x + x2 = 0.25

Solving
72.25 + -17x + x2 = 0.25

Solving for variable 'x'.

Reorder the terms:
72.25 + -0.25 + -17x + x2 = 0.25 + -0.25

Combine like terms: 72.25 + -0.25 = 72
72 + -17x + x2 = 0.25 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
72 + -17x + x2 = 0.00

Factor a trinomial.
(8 + -1x)(9 + -1x) = 0.00

Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {8, 9}