12m^2=-4m-5

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Solution for 12m^2=-4m-5 equation: 


Simplifying
12m2 = -4m + -5

Reorder the terms:
12m2 = -5 + -4m

Solving
12m2 = -5 + -4m

Solving for variable 'm'.

Reorder the terms:
5 + 4m + 12m2 = -5 + -4m + 5 + 4m

Reorder the terms:
5 + 4m + 12m2 = -5 + 5 + -4m + 4m

Combine like terms: -5 + 5 = 0
5 + 4m + 12m2 = 0 + -4m + 4m
5 + 4m + 12m2 = -4m + 4m

Combine like terms: -4m + 4m = 0
5 + 4m + 12m2 = 0

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

Divide each side by '12'.
0.4166666667 + 0.3333333333m + m2 = 0

Move the constant term to the right:

Add '-0.4166666667' to each side of the equation.
0.4166666667 + 0.3333333333m + -0.4166666667 + m2 = 0 + -0.4166666667

Reorder the terms:
0.4166666667 + -0.4166666667 + 0.3333333333m + m2 = 0 + -0.4166666667

Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000
0.0000000000 + 0.3333333333m + m2 = 0 + -0.4166666667
0.3333333333m + m2 = 0 + -0.4166666667

Combine like terms: 0 + -0.4166666667 = -0.4166666667
0.3333333333m + m2 = -0.4166666667

The m term is 0.3333333333m.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333m + 0.02777777779 + m2 = -0.4166666667 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333m + m2 = -0.4166666667 + 0.02777777779

Combine like terms: -0.4166666667 + 0.02777777779 = -0.38888888891
0.02777777779 + 0.3333333333m + m2 = -0.38888888891

Factor a perfect square on the left side:
(m + 0.1666666667)(m + 0.1666666667) = -0.38888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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