exam Maths Puzzle Numerical Ability

Thank you for your help.Solving the following by Factoring the equations of x^2-6x-16=0, would (x+2)(x-8)=0 or -8x+2x, and would the same apply to 6x^2+42x=0,6x(x+7). Is x2 the same as x^2. This site has truly been a big help for me.

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exam Other Question

-4-7+y-7x-(-3) The problem is P(n,2)=42, find n. The instructor gave the answer for n, which is 7. I figured out the formula knowing the answer is 7, which is n!/(n-k)!
I need to know the formula to figure out how to get the value of n. Thank you.