-3r(r-1)=11-2r

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Solution for -3r(r-1)=11-2r equation: 


Simplifying
-3r(r + -1) = 11 + -2r

Reorder the terms:
-3r(-1 + r) = 11 + -2r
(-1 * -3r + r * -3r) = 11 + -2r
(3r + -3r2) = 11 + -2r

Solving
3r + -3r2 = 11 + -2r

Solving for variable 'r'.

Reorder the terms:
-11 + 3r + 2r + -3r2 = 11 + -2r + -11 + 2r

Combine like terms: 3r + 2r = 5r
-11 + 5r + -3r2 = 11 + -2r + -11 + 2r

Reorder the terms:
-11 + 5r + -3r2 = 11 + -11 + -2r + 2r

Combine like terms: 11 + -11 = 0
-11 + 5r + -3r2 = 0 + -2r + 2r
-11 + 5r + -3r2 = -2r + 2r

Combine like terms: -2r + 2r = 0
-11 + 5r + -3r2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
3.666666667 + -1.666666667r + r2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + -1.666666667r + -3.666666667 + r2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + -1.666666667r + r2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + -1.666666667r + r2 = 0 + -3.666666667
-1.666666667r + r2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
-1.666666667r + r2 = -3.666666667

The r term is -1.666666667r.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667r + 0.6944444447 + r2 = -3.666666667 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667r + r2 = -3.666666667 + 0.6944444447

Combine like terms: -3.666666667 + 0.6944444447 = -2.9722222223
0.6944444447 + -1.666666667r + r2 = -2.9722222223

Factor a perfect square on the left side:
(r + -0.8333333335)(r + -0.8333333335) = -2.9722222223

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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