z^2-3z+3=0

Solution for z^2-3z+3=0 equation:

Simplifying
z2 + -3z + 3 = 0

Reorder the terms:
3 + -3z + z2 = 0

Solving
3 + -3z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -3z + -3 + z2 = 0 + -3

Reorder the terms:
3 + -3 + -3z + z2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3z + z2 = 0 + -3
-3z + z2 = 0 + -3

Combine like terms: 0 + -3 = -3
-3z + z2 = -3

The z term is -3z.  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.
-3z + 2.25 + z2 = -3 + 2.25

Reorder the terms:
2.25 + -3z + z2 = -3 + 2.25

Combine like terms: -3 + 2.25 = -0.75
2.25 + -3z + z2 = -0.75

Factor a perfect square on the left side:
(z + -1.5)(z + -1.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.