Could somebody explain what a quadratic equation is (preferably in a simplified explanation), along with the method to solving a factored quadratic equation, such as (3n-2)(4n+1) = 0.

At a local museum, the total price for one adult and one child is $11. mrs. smith paid for herself and her three children. she spent $19. record the system of equations to be solved and then find the price of an adult and child ticket using either elimination or substitution.