(2m^2+6m)+(m^2-5m+7)=

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Solution for (2m^2+6m)+(m^2-5m+7)= equation: 


Simplifying
(2m2 + 6m) + (m2 + -5m + 7) = 0

Reorder the terms:
(6m + 2m2) + (m2 + -5m + 7) = 0

Remove parenthesis around (6m + 2m2)
6m + 2m2 + (m2 + -5m + 7) = 0

Reorder the terms:
6m + 2m2 + (7 + -5m + m2) = 0

Remove parenthesis around (7 + -5m + m2)
6m + 2m2 + 7 + -5m + m2 = 0

Reorder the terms:
7 + 6m + -5m + 2m2 + m2 = 0

Combine like terms: 6m + -5m = 1m
7 + 1m + 2m2 + m2 = 0

Combine like terms: 2m2 + m2 = 3m2
7 + 1m + 3m2 = 0

Solving
7 + 1m + 3m2 = 0

Solving for variable 'm'.

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

Divide each side by '3'.
2.333333333 + 0.3333333333m + m2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + 0.3333333333m + -2.333333333 + m2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + 0.3333333333m + m2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + 0.3333333333m + m2 = 0 + -2.333333333
0.3333333333m + m2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
0.3333333333m + m2 = -2.333333333

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 = -2.333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333m + m2 = -2.333333333 + 0.02777777779

Combine like terms: -2.333333333 + 0.02777777779 = -2.30555555521
0.02777777779 + 0.3333333333m + m2 = -2.30555555521

Factor a perfect square on the left side:
(m + 0.1666666667)(m + 0.1666666667) = -2.30555555521

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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