8х=х-х2

To solve the equation 8x = x - x^2, we can rearrange the equation to get it in quadratic form:

x^2 + 7x - 8x = 0

Combine like terms:

x^2 - x = 0

Factor out x:

x(x - 1) = 0

Now, we have two possible solutions:

1. x = 0

2. x - 1 = 0 x = 1

Therefore, the solutions to the equation 8x = x - x^2 are x = 0 and x = 1.