2-3r=-11r^2

Solution for 2-3r=-11r^2 equation:

Simplifying
2 + -3r = -11r2

Solving
2 + -3r = -11r2

Solving for variable 'r'.

Combine like terms: -11r2 + 11r2 = 0
2 + -3r + 11r2 = 0

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

Divide each side by '11'.
0.1818181818 + -0.2727272727r + r2 = 0

Move the constant term to the right:

Add '-0.1818181818' to each side of the equation.
0.1818181818 + -0.2727272727r + -0.1818181818 + r2 = 0 + -0.1818181818

Reorder the terms:
0.1818181818 + -0.1818181818 + -0.2727272727r + r2 = 0 + -0.1818181818

Combine like terms: 0.1818181818 + -0.1818181818 = 0.0000000000
0.0000000000 + -0.2727272727r + r2 = 0 + -0.1818181818
-0.2727272727r + r2 = 0 + -0.1818181818

Combine like terms: 0 + -0.1818181818 = -0.1818181818
-0.2727272727r + r2 = -0.1818181818

The r term is -0.2727272727r.  Take half its coefficient (-0.1363636364).
Square it (0.01859504133) and add it to both sides.

Add '0.01859504133' to each side of the equation.
-0.2727272727r + 0.01859504133 + r2 = -0.1818181818 + 0.01859504133

Reorder the terms:
0.01859504133 + -0.2727272727r + r2 = -0.1818181818 + 0.01859504133

Combine like terms: -0.1818181818 + 0.01859504133 = -0.16322314047
0.01859504133 + -0.2727272727r + r2 = -0.16322314047

Factor a perfect square on the left side:
(r + -0.1363636364)(r + -0.1363636364) = -0.16322314047

Can't calculate square root of the right side.

The solution to this equation could not be determined.