6r^2-11r+6=0

Solution for 6r^2-11r+6=0 equation:

Simplifying
6r2 + -11r + 6 = 0

Reorder the terms:
6 + -11r + 6r2 = 0

Solving
6 + -11r + 6r2 = 0

Solving for variable 'r'.

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

Divide each side by '6'.
1 + -1.833333333r + r2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.833333333r + -1 + r2 = 0 + -1

Reorder the terms:
1 + -1 + -1.833333333r + r2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.833333333r + r2 = 0 + -1
-1.833333333r + r2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.833333333r + r2 = -1

The r term is -1.833333333r.  Take half its coefficient (-0.9166666665).
Square it (0.8402777775) and add it to both sides.

Add '0.8402777775' to each side of the equation.
-1.833333333r + 0.8402777775 + r2 = -1 + 0.8402777775

Reorder the terms:
0.8402777775 + -1.833333333r + r2 = -1 + 0.8402777775

Combine like terms: -1 + 0.8402777775 = -0.1597222225
0.8402777775 + -1.833333333r + r2 = -0.1597222225

Factor a perfect square on the left side:
(r + -0.9166666665)(r + -0.9166666665) = -0.1597222225

Can't calculate square root of the right side.

The solution to this equation could not be determined.