use the zero product property to solve

(x-2)(x+9)=0

If (A)(B) = 0 then either

A = 0 or B = 0

apply that to your equation.

z(-1)(z+3)=0

x^2 - x - 10=2
please help I really don't get it .

To use the zero product property to solve the equation (x - 2)(x + 9) = 0, we need to set each factor equal to zero and solve for x.

1. Set the first factor, x - 2, equal to zero:
x - 2 = 0

Now, solve for x by adding 2 to both sides of the equation:
x = 2

2. Set the second factor, x + 9, equal to zero:
x + 9 = 0

Now, solve for x by subtracting 9 from both sides of the equation:
x = -9

So, the solutions to the equation (x - 2)(x + 9) = 0 are x = 2 and x = -9.

Note: The zero product property states that if the product of two or more numbers is zero, then at least one of the numbers must be zero. In this case, either (x - 2) is zero or (x + 9) is zero.