3m(3m+2)+5=0

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Solution for 3m(3m+2)+5=0 equation: 


Simplifying
3m(3m + 2) + 5 = 0

Reorder the terms:
3m(2 + 3m) + 5 = 0
(2 * 3m + 3m * 3m) + 5 = 0
(6m + 9m2) + 5 = 0

Reorder the terms:
5 + 6m + 9m2 = 0

Solving
5 + 6m + 9m2 = 0

Solving for variable 'm'.

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

Divide each side by '9'.
0.5555555556 + 0.6666666667m + m2 = 0

Move the constant term to the right:

Add '-0.5555555556' to each side of the equation.
0.5555555556 + 0.6666666667m + -0.5555555556 + m2 = 0 + -0.5555555556

Reorder the terms:
0.5555555556 + -0.5555555556 + 0.6666666667m + m2 = 0 + -0.5555555556

Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000
0.0000000000 + 0.6666666667m + m2 = 0 + -0.5555555556
0.6666666667m + m2 = 0 + -0.5555555556

Combine like terms: 0 + -0.5555555556 = -0.5555555556
0.6666666667m + m2 = -0.5555555556

The m term is 0.6666666667m.  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.
0.6666666667m + 0.1111111112 + m2 = -0.5555555556 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667m + m2 = -0.5555555556 + 0.1111111112

Combine like terms: -0.5555555556 + 0.1111111112 = -0.4444444444
0.1111111112 + 0.6666666667m + m2 = -0.4444444444

Factor a perfect square on the left side:
(m + 0.3333333334)(m + 0.3333333334) = -0.4444444444

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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