Question 526633
{{{x=-6}}} or {{{x=4}}} Start with the given solutions.



{{{x+6=0}}} or {{{x-4=0}}} Get everything to one side so that only 0 remains on the right side (for both equations).



{{{(x+6)(x-4)=0}}} Use the zero product property to combine the equations.



{{{x^2+2x-24=0}}} FOIL out the left side.



So the answer is {{{x^2+2x-24=0}}}



To check your work, simply solve {{{x^2+2x-24=0}}} for x. Doing so will show you that the solutions are {{{x=-6}}} or {{{x=4}}}, which confirm the answer.



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