0=x^2-4.5x+6

Solution for 0=x^2-4.5x+6 equation:

Simplifying
0 = x2 + -4.5x + 6

Reorder the terms:
0 = 6 + -4.5x + x2

Solving
0 = 6 + -4.5x + x2

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + 4.5x + -1x2 = 6 + -4.5x + x2 + -6 + 4.5x + -1x2

Reorder the terms:
-6 + 4.5x + -1x2 = 6 + -6 + -4.5x + 4.5x + x2 + -1x2

Combine like terms: 6 + -6 = 0
-6 + 4.5x + -1x2 = 0 + -4.5x + 4.5x + x2 + -1x2
-6 + 4.5x + -1x2 = -4.5x + 4.5x + x2 + -1x2

Combine like terms: -4.5x + 4.5x = 0.0
-6 + 4.5x + -1x2 = 0.0 + x2 + -1x2
-6 + 4.5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 4.5x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
6 + -4.5x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -4.5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -4.5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4.5x + x2 = 0 + -6
-4.5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4.5x + x2 = -6

The x term is -4.5x.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5x + 5.0625 + x2 = -6 + 5.0625

Reorder the terms:
5.0625 + -4.5x + x2 = -6 + 5.0625

Combine like terms: -6 + 5.0625 = -0.9375
5.0625 + -4.5x + x2 = -0.9375

Factor a perfect square on the left side:
(x + -2.25)(x + -2.25) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.