3r^2+4r+4=0fraction

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Solution for 3r^2+4r+4=0fraction equation: 


Simplifying
3r2 + 4r + 4 = 0fraction

Reorder the terms:
4 + 4r + 3r2 = 0fraction

Anything times zero is zero.
4 + 4r + 3r2 = 0acfinort

Solving
4 + 4r + 3r2 = 0

Solving for variable 'r'.

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

Divide each side by '3'.
1.333333333 + 1.333333333r + r2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 1.333333333r + -1.333333333 + r2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 1.333333333r + r2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 1.333333333r + r2 = 0 + -1.333333333
1.333333333r + r2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
1.333333333r + r2 = -1.333333333

The r term is 1.333333333r.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333r + 0.4444444442 + r2 = -1.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333r + r2 = -1.333333333 + 0.4444444442

Combine like terms: -1.333333333 + 0.4444444442 = -0.8888888888
0.4444444442 + 1.333333333r + r2 = -0.8888888888

Factor a perfect square on the left side:
(r + 0.6666666665)(r + 0.6666666665) = -0.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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