x^2-19x+90.25=2.25

Solution for x^2-19x+90.25=2.25 equation:

Simplifying
x2 + -19x + 90.25 = 2.25

Reorder the terms:
90.25 + -19x + x2 = 2.25

Solving
90.25 + -19x + x2 = 2.25

Solving for variable 'x'.

Reorder the terms:
90.25 + -2.25 + -19x + x2 = 2.25 + -2.25

Combine like terms: 90.25 + -2.25 = 88
88 + -19x + x2 = 2.25 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
88 + -19x + x2 = 0.00

Factor a trinomial.
(8 + -1x)(11 + -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 '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {8, 11}