-7n^2-7n-6=0

Solution for -7n^2-7n-6=0 equation:

Simplifying
-7n2 + -7n + -6 = 0

Reorder the terms:
-6 + -7n + -7n2 = 0

Solving
-6 + -7n + -7n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 7n + 7n2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + 7n + 7n2)' equal to zero and attempt to solve:

Simplifying
6 + 7n + 7n2 = 0

Solving
6 + 7n + 7n2 = 0

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

Divide each side by '7'.
0.8571428571 + n + n2 = 0

Move the constant term to the right:

Add '-0.8571428571' to each side of the equation.
0.8571428571 + n + -0.8571428571 + n2 = 0 + -0.8571428571

Reorder the terms:
0.8571428571 + -0.8571428571 + n + n2 = 0 + -0.8571428571

Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000
0.0000000000 + n + n2 = 0 + -0.8571428571
n + n2 = 0 + -0.8571428571

Combine like terms: 0 + -0.8571428571 = -0.8571428571
n + n2 = -0.8571428571

The n term is n.  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 + n2 = -0.8571428571 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + n2 = -0.8571428571 + 0.25

Combine like terms: -0.8571428571 + 0.25 = -0.6071428571
1.25 + n2 = -0.6071428571

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.