9r^2+6r+4=0

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Solution for 9r^2+6r+4=0 equation:


Simplifying
9r2 + 6r + 4 = 0

Reorder the terms:
4 + 6r + 9r2 = 0

Solving
4 + 6r + 9r2 = 0

Solving for variable 'r'.

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

Divide each side by '9'.
0.4444444444 + 0.6666666667r + r2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + 0.6666666667r + -0.4444444444 + r2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + 0.6666666667r + r2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + 0.6666666667r + r2 = 0 + -0.4444444444
0.6666666667r + r2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
0.6666666667r + r2 = -0.4444444444

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 = -0.4444444444 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667r + r2 = -0.4444444444 + 0.1111111112

Combine like terms: -0.4444444444 + 0.1111111112 = -0.3333333332
0.1111111112 + 0.6666666667r + r2 = -0.3333333332

Factor a perfect square on the left side:
(r + 0.3333333334)(r + 0.3333333334) = -0.3333333332

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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