0=9x^2-22x+45

Solution for 0=9x^2-22x+45 equation:

Simplifying
0 = 9x2 + -22x + 45

Reorder the terms:
0 = 45 + -22x + 9x2

Solving
0 = 45 + -22x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -45 = -45
-45 + 22x + -9x2 = 45 + -22x + 9x2 + -45 + 22x + -9x2

Reorder the terms:
-45 + 22x + -9x2 = 45 + -45 + -22x + 22x + 9x2 + -9x2

Combine like terms: 45 + -45 = 0
-45 + 22x + -9x2 = 0 + -22x + 22x + 9x2 + -9x2
-45 + 22x + -9x2 = -22x + 22x + 9x2 + -9x2

Combine like terms: -22x + 22x = 0
-45 + 22x + -9x2 = 0 + 9x2 + -9x2
-45 + 22x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-45 + 22x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
5 + -2.444444444x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -2.444444444x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -2.444444444x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2.444444444x + x2 = 0 + -5
-2.444444444x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2.444444444x + x2 = -5

The x term is -2.444444444x.  Take half its coefficient (-1.222222222).
Square it (1.493827160) and add it to both sides.

Add '1.493827160' to each side of the equation.
-2.444444444x + 1.493827160 + x2 = -5 + 1.493827160

Reorder the terms:
1.493827160 + -2.444444444x + x2 = -5 + 1.493827160

Combine like terms: -5 + 1.493827160 = -3.50617284
1.493827160 + -2.444444444x + x2 = -3.50617284

Factor a perfect square on the left side:
(x + -1.222222222)(x + -1.222222222) = -3.50617284

Can't calculate square root of the right side.

The solution to this equation could not be determined.