-10x^2-11x-6=0

Solution for -10x^2-11x-6=0 equation:

Simplifying
-10x2 + -11x + -6 = 0

Reorder the terms:
-6 + -11x + -10x2 = 0

Solving
-6 + -11x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 11x + 10x2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + 11x + 10x2)' equal to zero and attempt to solve:

Simplifying
6 + 11x + 10x2 = 0

Solving
6 + 11x + 10x2 = 0

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

Divide each side by '10'.
0.6 + 1.1x + x2 = 0.0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 1.1x + -0.6 + x2 = 0.0 + -0.6

Reorder the terms:
0.6 + -0.6 + 1.1x + x2 = 0.0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 1.1x + x2 = 0.0 + -0.6
1.1x + x2 = 0.0 + -0.6

Combine like terms: 0.0 + -0.6 = -0.6
1.1x + x2 = -0.6

The x term is 1.1x.  Take half its coefficient (0.55).
Square it (0.3025) and add it to both sides.

Add '0.3025' to each side of the equation.
1.1x + 0.3025 + x2 = -0.6 + 0.3025

Reorder the terms:
0.3025 + 1.1x + x2 = -0.6 + 0.3025

Combine like terms: -0.6 + 0.3025 = -0.2975
0.3025 + 1.1x + x2 = -0.2975

Factor a perfect square on the left side:
(x + 0.55)(x + 0.55) = -0.2975

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.