6x(-1x-1)=38

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Solution for 6x(-1x-1)=38 equation: 


Simplifying
6x(-1x + -1) = 38

Reorder the terms:
6x(-1 + -1x) = 38
(-1 * 6x + -1x * 6x) = 38
(-6x + -6x2) = 38

Solving
-6x + -6x2 = 38

Solving for variable 'x'.

Reorder the terms:
-38 + -6x + -6x2 = 38 + -38

Combine like terms: 38 + -38 = 0
-38 + -6x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(19 + 3x + 3x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(19 + 3x + 3x2)' equal to zero and attempt to solve:

Simplifying
19 + 3x + 3x2 = 0

Solving
19 + 3x + 3x2 = 0

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

Divide each side by '3'.
6.333333333 + x + x2 = 0

Move the constant term to the right:

Add '-6.333333333' to each side of the equation.
6.333333333 + x + -6.333333333 + x2 = 0 + -6.333333333

Reorder the terms:
6.333333333 + -6.333333333 + x + x2 = 0 + -6.333333333

Combine like terms: 6.333333333 + -6.333333333 = 0.000000000
0.000000000 + x + x2 = 0 + -6.333333333
x + x2 = 0 + -6.333333333

Combine like terms: 0 + -6.333333333 = -6.333333333
x + x2 = -6.333333333

The x term is x.  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 + x2 = -6.333333333 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -6.333333333 + 0.25

Combine like terms: -6.333333333 + 0.25 = -6.083333333
1.25 + x2 = -6.083333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -6.083333333

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.

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