9m^2+3m+22=-10

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Solution for 9m^2+3m+22=-10 equation: 


Simplifying
9m2 + 3m + 22 = -10

Reorder the terms:
22 + 3m + 9m2 = -10

Solving
22 + 3m + 9m2 = -10

Solving for variable 'm'.

Reorder the terms:
22 + 10 + 3m + 9m2 = -10 + 10

Combine like terms: 22 + 10 = 32
32 + 3m + 9m2 = -10 + 10

Combine like terms: -10 + 10 = 0
32 + 3m + 9m2 = 0

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

Divide each side by '9'.
3.555555556 + 0.3333333333m + m2 = 0

Move the constant term to the right:

Add '-3.555555556' to each side of the equation.
3.555555556 + 0.3333333333m + -3.555555556 + m2 = 0 + -3.555555556

Reorder the terms:
3.555555556 + -3.555555556 + 0.3333333333m + m2 = 0 + -3.555555556

Combine like terms: 3.555555556 + -3.555555556 = 0.000000000
0.000000000 + 0.3333333333m + m2 = 0 + -3.555555556
0.3333333333m + m2 = 0 + -3.555555556

Combine like terms: 0 + -3.555555556 = -3.555555556
0.3333333333m + m2 = -3.555555556

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 = -3.555555556 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333m + m2 = -3.555555556 + 0.02777777779

Combine like terms: -3.555555556 + 0.02777777779 = -3.52777777821
0.02777777779 + 0.3333333333m + m2 = -3.52777777821

Factor a perfect square on the left side:
(m + 0.1666666667)(m + 0.1666666667) = -3.52777777821

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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