2r^2-3r+2=0

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

Simplifying
2r2 + -3r + 2 = 0

Reorder the terms:
2 + -3r + 2r2 = 0

Solving
2 + -3r + 2r2 = 0

Solving for variable 'r'.

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

Divide each side by '2'.
1 + -1.5r + r2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.5r + -1 + r2 = 0 + -1

Reorder the terms:
1 + -1 + -1.5r + r2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5r + r2 = 0 + -1
-1.5r + r2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.5r + r2 = -1

The r term is -1.5r.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5r + 0.5625 + r2 = -1 + 0.5625

Reorder the terms:
0.5625 + -1.5r + r2 = -1 + 0.5625

Combine like terms: -1 + 0.5625 = -0.4375
0.5625 + -1.5r + r2 = -0.4375

Factor a perfect square on the left side:
(r + -0.75)(r + -0.75) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.