solve

(x-3)(x=5)(x-7)=0

I think you have a typo in your problem.

If you expression mean :

( x - 3 ) ( x - 5 ) ( x - 7 ) = 0

The "Zero Product Property" says:

If ( x - 3 ) ( x - 5 ) ( x - 7 ) = 0

then

( x - 3 ) = 0

or

( x - 5 ) = 0

or

( x - 7 ) = 0

Solutions :

x = 3

x = 5

and

x = 7

To solve the equation (x-3)(x+5)(x-7) = 0, we can use the zero-product property. According to the zero-product property, if a product of factors is equal to zero, then at least one of the factors must be equal to zero. So, we set each factor equal to zero and solve for x.

Setting x-3 = 0:
x - 3 = 0
x = 3

Setting x + 5 = 0:
x + 5 = 0
x = -5

Setting x-7 = 0:
x - 7 = 0
x = 7

Therefore, the solutions to the equation (x-3)(x+5)(x-7) = 0 are x = 3, x = -5, and x = 7.