(x-7)(x+2)=0

what is the question?

this is already factored so you set each set of parenthesis equal to zero (if you are trying to solve for x) so...

(x-7)=0 add the 7 to both sides and that is one of the answers. then do the same thing with the other set.

To find the solutions to this equation, you need to set each factor equal to zero and solve for x.

To do this, you can set the first factor, (x-7), equal to zero:

x - 7 = 0

Then, solve for x by adding 7 to both sides of the equation:

x = 7

Next, you can set the second factor, (x+2), equal to zero:

x + 2 = 0

Again, solve for x by subtracting 2 from both sides of the equation:

x = -2

So, the solutions to the equation (x-7)(x+2) = 0 are x = 7 and x = -2.