-3u^2-7u-6=0

Solution for -3u^2-7u-6=0 equation:

Simplifying
-3u2 + -7u + -6 = 0

Reorder the terms:
-6 + -7u + -3u2 = 0

Solving
-6 + -7u + -3u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 7u + 3u2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + 7u + 3u2)' equal to zero and attempt to solve:

Simplifying
6 + 7u + 3u2 = 0

Solving
6 + 7u + 3u2 = 0

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

Divide each side by '3'.
2 + 2.333333333u + u2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 2.333333333u + -2 + u2 = 0 + -2

Reorder the terms:
2 + -2 + 2.333333333u + u2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2.333333333u + u2 = 0 + -2
2.333333333u + u2 = 0 + -2

Combine like terms: 0 + -2 = -2
2.333333333u + u2 = -2

The u term is 2.333333333u.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333u + 1.361111112 + u2 = -2 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333u + u2 = -2 + 1.361111112

Combine like terms: -2 + 1.361111112 = -0.638888888
1.361111112 + 2.333333333u + u2 = -0.638888888

Factor a perfect square on the left side:
(u + 1.166666667)(u + 1.166666667) = -0.638888888

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.