7m^2+7m+6=0

Solution for 7m^2+7m+6=0 equation:

Simplifying
7m2 + 7m + 6 = 0

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

Solving
6 + 7m + 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'.
0.8571428571 + m + m2 = 0

Move the constant term to the right:

Add '-0.8571428571' to each side of the equation.
0.8571428571 + m + -0.8571428571 + m2 = 0 + -0.8571428571

Reorder the terms:
0.8571428571 + -0.8571428571 + m + m2 = 0 + -0.8571428571

Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000
0.0000000000 + m + m2 = 0 + -0.8571428571
m + m2 = 0 + -0.8571428571

Combine like terms: 0 + -0.8571428571 = -0.8571428571
m + m2 = -0.8571428571

The m term is m.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + m2 = -0.8571428571 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + m2 = -0.8571428571 + 0.25

Combine like terms: -0.8571428571 + 0.25 = -0.6071428571
1.25 + m2 = -0.6071428571

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -0.6071428571

Can't calculate square root of the right side.

The solution to this equation could not be determined.