Please help me and show work

For what values of x is x2 + 2x = 24 true?

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

Last one and the bottom answer choice is y=(x-4)^2+1 you guys!