solve the factored quadratic equation:(x-5) (x +3) = 0

To solve the factored quadratic equation (x-5)(x+3) = 0, we need to find the values of x that make the equation equal to zero.

Setting each factor to zero, we get:
x - 5 = 0 and x + 3 = 0

Solving the first equation, we add 5 to both sides:
x = 5

Solving the second equation, we subtract 3 from both sides:
x = -3

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