x^2-3x+4.5=0

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Solution for x^2-3x+4.5=0 equation: 


Simplifying
x2 + -3x + 4.5 = 0

Reorder the terms:
4.5 + -3x + x2 = 0

Solving
4.5 + -3x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -3x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -3x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -3x + x2 = 0 + -4.5
-3x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-3x + x2 = -4.5

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -4.5 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -4.5 + 2.25

Combine like terms: -4.5 + 2.25 = -2.25
2.25 + -3x + x2 = -2.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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