6r^2+r=-2

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


Simplifying
6r2 + r = -2

Reorder the terms:
r + 6r2 = -2

Solving
r + 6r2 = -2

Solving for variable 'r'.

Reorder the terms:
2 + r + 6r2 = -2 + 2

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

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

Divide each side by '6'.
0.3333333333 + 0.1666666667r + r2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 0.1666666667r + -0.3333333333 + r2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 0.1666666667r + r2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 0.1666666667r + r2 = 0 + -0.3333333333
0.1666666667r + r2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
0.1666666667r + r2 = -0.3333333333

The r term is r.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.1666666667r + 0.25 + r2 = -0.3333333333 + 0.25

Reorder the terms:
0.25 + 0.1666666667r + r2 = -0.3333333333 + 0.25

Combine like terms: -0.3333333333 + 0.25 = -0.0833333333
0.25 + 0.1666666667r + r2 = -0.0833333333

Factor a perfect square on the left side:
(r + 0.5)(r + 0.5) = -0.0833333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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