x(2+x)(-x^2+x-1)=0

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Solution for x(2+x)(-x^2+x-1)=0 equation: 


Simplifying
x(2 + x)(-1x2 + x + -1) = 0

Reorder the terms:
x(2 + x)(-1 + x + -1x2) = 0

Multiply (2 + x) * (-1 + x + -1x2)
x(2(-1 + x + -1x2) + x(-1 + x + -1x2)) = 0
x((-1 * 2 + x * 2 + -1x2 * 2) + x(-1 + x + -1x2)) = 0
x((-2 + 2x + -2x2) + x(-1 + x + -1x2)) = 0
x(-2 + 2x + -2x2 + (-1 * x + x * x + -1x2 * x)) = 0
x(-2 + 2x + -2x2 + (-1x + x2 + -1x3)) = 0

Reorder the terms:
x(-2 + 2x + -1x + -2x2 + x2 + -1x3) = 0

Combine like terms: 2x + -1x = 1x
x(-2 + 1x + -2x2 + x2 + -1x3) = 0

Combine like terms: -2x2 + x2 = -1x2
x(-2 + 1x + -1x2 + -1x3) = 0
(-2 * x + 1x * x + -1x2 * x + -1x3 * x) = 0
(-2x + 1x2 + -1x3 + -1x4) = 0

Solving
-2x + 1x2 + -1x3 + -1x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + x + -1x2 + -1x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-2 + x + -1x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-2 + x + -1x2 + -1x3 = 0

Solving
-2 + x + -1x2 + -1x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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