6r^2-7r+5=0

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Solution for 6r^2-7r+5=0 equation: 


Simplifying
6r2 + -7r + 5 = 0

Reorder the terms:
5 + -7r + 6r2 = 0

Solving
5 + -7r + 6r2 = 0

Solving for variable 'r'.

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

Divide each side by '6'.
0.8333333333 + -1.166666667r + r2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + -1.166666667r + -0.8333333333 + r2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + -1.166666667r + r2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + -1.166666667r + r2 = 0 + -0.8333333333
-1.166666667r + r2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
-1.166666667r + r2 = -0.8333333333

The r term is -1.166666667r.  Take half its coefficient (-0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
-1.166666667r + 0.3402777780 + r2 = -0.8333333333 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667r + r2 = -0.8333333333 + 0.3402777780

Combine like terms: -0.8333333333 + 0.3402777780 = -0.4930555553
0.3402777780 + -1.166666667r + r2 = -0.4930555553

Factor a perfect square on the left side:
(r + -0.5833333335)(r + -0.5833333335) = -0.4930555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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