6r^2-r+4=0

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Solution for 6r^2-r+4=0 equation: 


Simplifying
6r2 + -1r + 4 = 0

Reorder the terms:
4 + -1r + 6r2 = 0

Solving
4 + -1r + 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'.
0.6666666667 + -0.1666666667r + r2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.1666666667r + -0.6666666667 + r2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.1666666667r + r2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.1666666667r + r2 = 0 + -0.6666666667
-0.1666666667r + r2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.1666666667r + r2 = -0.6666666667

The r term is -0.1666666667r.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667r + 0.006944444447 + r2 = -0.6666666667 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667r + r2 = -0.6666666667 + 0.006944444447

Combine like terms: -0.6666666667 + 0.006944444447 = -0.659722222253
0.006944444447 + -0.1666666667r + r2 = -0.659722222253

Factor a perfect square on the left side:
(r + -0.08333333335)(r + -0.08333333335) = -0.659722222253

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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