8х=х-х2

To solve the equation 8x = x - x^2, we can start by rearranging the terms and setting the equation to equal zero:

x^2 - x + 8x = 0

Next, combine like terms:

x^2 + 7x = 0

Now, we can factor out an x:

x(x + 7) = 0

This equation will be equal to zero if either x = 0 or x + 7 = 0. Therefore, the two possible solutions are:

x = 0 x = -7