12r^2-8r+15=0

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Solution for 12r^2-8r+15=0 equation:


Simplifying
12r2 + -8r + 15 = 0

Reorder the terms:
15 + -8r + 12r2 = 0

Solving
15 + -8r + 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 + -0.6666666667r + r2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -0.6666666667r + -1.25 + r2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -0.6666666667r + r2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -0.6666666667r + r2 = 0 + -1.25
-0.6666666667r + r2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-0.6666666667r + r2 = -1.25

The r term is -0.6666666667r.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667r + 0.1111111112 + r2 = -1.25 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667r + r2 = -1.25 + 0.1111111112

Combine like terms: -1.25 + 0.1111111112 = -1.1388888888
0.1111111112 + -0.6666666667r + r2 = -1.1388888888

Factor a perfect square on the left side:
(r + -0.3333333334)(r + -0.3333333334) = -1.1388888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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