exam Maths Puzzle Numerical Ability

I need help on page #575 on question #20. I need to solve the roots of each quadratic equation using the factoring method, and place the equation in standard form before factoring:


X^2=10x-24


Thanks for your time. =)

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exam Other Question
Find the value of k so that the equation below has the solution set {-5}.

4(x+3)=x(3-k)

so far i have this but my main problem is what is the definition of a solution set?

4x+12=3x-kx minus 3x from each side. x+12/x= -kx/x then -12/x=k Write a quadratic equation with integer coefficients with the solutions 5/3 and 2/3.


THANK YOU!