Solve the equation by the​ zero-factor property.

x​(x+ 8​)=0

1 answer

The equation can be solved by using the zero factor property which states that if a product of two factors is equal to zero, then at least one of the factors must be zero.
So, in order to solve the equation x(x+8)=0, we set each factor equal to zero and solve for x.

First factor: x = 0
Second factor: x + 8 = 0

Solving the equations, we find:
x = 0
x = -8

So, the solutions to the equation x(x+8)=0 are x = 0 and x = -8.