Question 544272


{{{x=5}}} or {{{x=3}}} Start with the given solutions.



{{{x-5=0}}} or {{{x-3=0}}} Get everything to one side so that only 0 remains on the right side (for both equations).



{{{(x-5)(x-3)=0}}} Use the zero product property to combine the equations.



{{{x^2-8x+15=0}}} FOIL out the left side.



So the answer is {{{x^2-8x+15=0}}}



To check your work, simply solve {{{x^2-8x+15=0}}} for x. Doing so will show you that the solutions are {{{x=5}}} or {{{x=3}}}, which confirm the answer.