12r^2-23r+15=0

Solution for 12r^2-23r+15=0 equation:

Simplifying
12r2 + -23r + 15 = 0

Reorder the terms:
15 + -23r + 12r2 = 0

Solving
15 + -23r + 12r2 = 0

Solving for variable 'r'.

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

Divide each side by '12'.
1.25 + -1.916666667r + r2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1.916666667r + -1.25 + r2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1.916666667r + r2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1.916666667r + r2 = 0 + -1.25
-1.916666667r + r2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1.916666667r + r2 = -1.25

The r term is -1.916666667r.  Take half its coefficient (-0.9583333335).
Square it (0.9184027781) and add it to both sides.

Add '0.9184027781' to each side of the equation.
-1.916666667r + 0.9184027781 + r2 = -1.25 + 0.9184027781

Reorder the terms:
0.9184027781 + -1.916666667r + r2 = -1.25 + 0.9184027781

Combine like terms: -1.25 + 0.9184027781 = -0.3315972219
0.9184027781 + -1.916666667r + r2 = -0.3315972219

Factor a perfect square on the left side:
(r + -0.9583333335)(r + -0.9583333335) = -0.3315972219

Can't calculate square root of the right side.

The solution to this equation could not be determined.