5a2-4a-3-3(a2+a+4)=0. What is the sum of the potable value of a?

5a2-4a-3-3(a2+a+4)=0. What is the sum of the potable value of a? Correct Answer 3.5

5a2 -4a -3 -3(a2+a+4) =0⇒ 5a2-4a-3-3a2-3a-12=0⇒ 2a2-7a-15=0⇒ 2a2-10a +3a-15=0⇒ 2a(a-5)+3(a-5) =0⇒(a-5)(2a+3)=0∴ a-5=0           2a+3=0  a=5                       a= -32  5+ (-32)= 5-32=10-32=72=3.5
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