2x+x²+1x=0

To solve the equation 2x + x² + 1x = 0, we first need to arrange the terms in a more simplified form:

x² + (2 + 1)x = 0

Next, we can factor out an x from the terms inside the parentheses:

x(x + 2 + 1) = 0

Simplifying further:

x(x + 3) = 0

Now, we have a product of two factors equal to zero. According to the zero product property, one or both of the factors must be equal to zero in order for the whole equation to be true.

So, we can set each factor equal to zero:

x = 0 or x + 3 = 0

For the first equation, x = 0.

For the second equation, we can solve for x by subtracting 3 from both sides:

x + 3 - 3 = 0 - 3

x = -3

Therefore, the solutions to the equation 2x + x² + 1x = 0 are x = 0 and x = -3.