8х=х-х2

To solve the equation 8x = x - x^2, we can start by rearranging the equation to get it into a more recognizable form.

First, let's move all the terms to one side of the equation:

8x - x + x^2 = 0

Next, let's combine like terms:

x^2 + 7x = 0

Now, we have a quadratic equation. To solve for the values of x, we can factor the equation:

x(x + 7) = 0

Setting each factor equal to zero:

x = 0 or x + 7 = 0

Solving for x in each equation gives us two possible solutions:

x = 0 or x = -7

Therefore, the solutions to the equation 8x = x - x^2 are x = 0 and x = -7.