9m^2+3m+22=12

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Solution for 9m^2+3m+22=12 equation: 


Simplifying
9m2 + 3m + 22 = 12

Reorder the terms:
22 + 3m + 9m2 = 12

Solving
22 + 3m + 9m2 = 12

Solving for variable 'm'.

Reorder the terms:
22 + -12 + 3m + 9m2 = 12 + -12

Combine like terms: 22 + -12 = 10
10 + 3m + 9m2 = 12 + -12

Combine like terms: 12 + -12 = 0
10 + 3m + 9m2 = 0

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

Divide each side by '9'.
1.111111111 + 0.3333333333m + m2 = 0

Move the constant term to the right:

Add '-1.111111111' to each side of the equation.
1.111111111 + 0.3333333333m + -1.111111111 + m2 = 0 + -1.111111111

Reorder the terms:
1.111111111 + -1.111111111 + 0.3333333333m + m2 = 0 + -1.111111111

Combine like terms: 1.111111111 + -1.111111111 = 0.000000000
0.000000000 + 0.3333333333m + m2 = 0 + -1.111111111
0.3333333333m + m2 = 0 + -1.111111111

Combine like terms: 0 + -1.111111111 = -1.111111111
0.3333333333m + m2 = -1.111111111

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 = -1.111111111 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333m + m2 = -1.111111111 + 0.02777777779

Combine like terms: -1.111111111 + 0.02777777779 = -1.08333333321
0.02777777779 + 0.3333333333m + m2 = -1.08333333321

Factor a perfect square on the left side:
(m + 0.1666666667)(m + 0.1666666667) = -1.08333333321

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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