6r^2+4r+4=0

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


Simplifying
6r2 + 4r + 4 = 0

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

Solving
4 + 4r + 6r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 2r + 3r2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + 2r + 3r2)' equal to zero and attempt to solve:

Simplifying
2 + 2r + 3r2 = 0

Solving
2 + 2r + 3r2 = 0

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

Divide each side by '3'.
0.6666666667 + 0.6666666667r + r2 = 0

Move the constant term to the right:

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

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

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

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

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 = -0.6666666667 + 0.1111111112

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

Combine like terms: -0.6666666667 + 0.1111111112 = -0.5555555555
0.1111111112 + 0.6666666667r + r2 = -0.5555555555

Factor a perfect square on the left side:
(r + 0.3333333334)(r + 0.3333333334) = -0.5555555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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