SOLUTION: The sum of all the solutions of the equation: (10x−3a)(3x+39)(5x−3)=0 is (−1). Find a.

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Question 1067986: The sum of all the solutions of the equation: (10x−3a)(3x+39)(5x−3)=0 is (−1). Find a.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39632)   (Show Source): You can put this solution on YOUR website!
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Answer by ikleyn(52943)   (Show Source): You can put this solution on YOUR website!
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The solutions are x = ,  = -13 and .


According to the condition, their sum is -1. It gives you an equation


 = -1,   or

 = -1 + 13,   or

 = 12  --->  3a + 6 = 120  --->  3a = 114  --->  a =  = 38.

Solved. a = 38.



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