9m^2+12m+5=0

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Solution for 9m^2+12m+5=0 equation:


Simplifying
9m2 + 12m + 5 = 0

Reorder the terms:
5 + 12m + 9m2 = 0

Solving
5 + 12m + 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 + 1.333333333m + m2 = 0

Move the constant term to the right:

Add '-0.5555555556' to each side of the equation.
0.5555555556 + 1.333333333m + -0.5555555556 + m2 = 0 + -0.5555555556

Reorder the terms:
0.5555555556 + -0.5555555556 + 1.333333333m + m2 = 0 + -0.5555555556

Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000
0.0000000000 + 1.333333333m + m2 = 0 + -0.5555555556
1.333333333m + m2 = 0 + -0.5555555556

Combine like terms: 0 + -0.5555555556 = -0.5555555556
1.333333333m + m2 = -0.5555555556

The m term is 1.333333333m.  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.
1.333333333m + 0.4444444442 + m2 = -0.5555555556 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333m + m2 = -0.5555555556 + 0.4444444442

Combine like terms: -0.5555555556 + 0.4444444442 = -0.1111111114
0.4444444442 + 1.333333333m + m2 = -0.1111111114

Factor a perfect square on the left side:
(m + 0.6666666665)(m + 0.6666666665) = -0.1111111114

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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