2(-3+r)-5r(3r-3)=

Solution for 2(-3+r)-5r(3r-3)= equation:

Simplifying
2(-3 + r) + -5r(3r + -3) = 0
(-3 * 2 + r * 2) + -5r(3r + -3) = 0
(-6 + 2r) + -5r(3r + -3) = 0

Reorder the terms:
-6 + 2r + -5r(-3 + 3r) = 0
-6 + 2r + (-3 * -5r + 3r * -5r) = 0
-6 + 2r + (15r + -15r2) = 0

Combine like terms: 2r + 15r = 17r
-6 + 17r + -15r2 = 0

Solving
-6 + 17r + -15r2 = 0

Solving for variable 'r'.

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.4 + -1.133333333r + r2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -1.133333333r + -0.4 + r2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -1.133333333r + r2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -1.133333333r + r2 = 0 + -0.4
-1.133333333r + r2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-1.133333333r + r2 = -0.4

The r term is -1.133333333r.  Take half its coefficient (-0.5666666665).
Square it (0.3211111109) and add it to both sides.

Add '0.3211111109' to each side of the equation.
-1.133333333r + 0.3211111109 + r2 = -0.4 + 0.3211111109

Reorder the terms:
0.3211111109 + -1.133333333r + r2 = -0.4 + 0.3211111109

Combine like terms: -0.4 + 0.3211111109 = -0.0788888891
0.3211111109 + -1.133333333r + r2 = -0.0788888891

Factor a perfect square on the left side:
(r + -0.5666666665)(r + -0.5666666665) = -0.0788888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.