x=-3x^2-2x-1

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Solution for x=-3x^2-2x-1 equation: 


Simplifying
x = -3x2 + -2x + -1

Reorder the terms:
x = -1 + -2x + -3x2

Solving
x = -1 + -2x + -3x2

Solving for variable 'x'.

Reorder the terms:
1 + x + 2x + 3x2 = -1 + -2x + -3x2 + 1 + 2x + 3x2

Combine like terms: x + 2x = 3x
1 + 3x + 3x2 = -1 + -2x + -3x2 + 1 + 2x + 3x2

Reorder the terms:
1 + 3x + 3x2 = -1 + 1 + -2x + 2x + -3x2 + 3x2

Combine like terms: -1 + 1 = 0
1 + 3x + 3x2 = 0 + -2x + 2x + -3x2 + 3x2
1 + 3x + 3x2 = -2x + 2x + -3x2 + 3x2

Combine like terms: -2x + 2x = 0
1 + 3x + 3x2 = 0 + -3x2 + 3x2
1 + 3x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
1 + 3x + 3x2 = 0

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

Divide each side by '3'.
0.3333333333 + x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + x + x2 = 0 + -0.3333333333
x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
x + x2 = -0.3333333333

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 = -0.3333333333 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -0.3333333333 + 0.25

Combine like terms: -0.3333333333 + 0.25 = -0.0833333333
1.25 + x2 = -0.0833333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.0833333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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