Question 1171274
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An equation is  


    {{{(x - (-1/3))*(x - (-2/5))}}} = 0 


where each linear binomial factor is ASSOCIATED by the OBVIOUS way with the  roots.


It is the same as


    {{{(x + 1/3)*(x + 2/5)}}} = 0 


which is EQUIVALENT to


    (3x+1)*(5x+2) = 0.


To get the standard form of a quadratic equation, make FOIL to get


    15x^2 + 6x + 5x + 6 = 0,


Combining like terms, you get the <U>FINAL ANSWER</U>


    15x^2 + 11x + 6 = 0.
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Solved, explained and completed.