7m+6m^2-2m+m^2+2=

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


Simplifying
7m + 6m2 + -2m + m2 + 2 = 0

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

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

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

Solving
2 + 5m + 7m2 = 0

Solving for variable 'm'.

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

Divide each side by '7'.
0.2857142857 + 0.7142857143m + m2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + 0.7142857143m + -0.2857142857 + m2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + 0.7142857143m + m2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + 0.7142857143m + m2 = 0 + -0.2857142857
0.7142857143m + m2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
0.7142857143m + m2 = -0.2857142857

The m term is 0.7142857143m.  Take half its coefficient (0.3571428572).
Square it (0.1275510204) and add it to both sides.

Add '0.1275510204' to each side of the equation.
0.7142857143m + 0.1275510204 + m2 = -0.2857142857 + 0.1275510204

Reorder the terms:
0.1275510204 + 0.7142857143m + m2 = -0.2857142857 + 0.1275510204

Combine like terms: -0.2857142857 + 0.1275510204 = -0.1581632653
0.1275510204 + 0.7142857143m + m2 = -0.1581632653

Factor a perfect square on the left side:
(m + 0.3571428572)(m + 0.3571428572) = -0.1581632653

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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