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Your query is incomplete. However, I am providing you the link to the similar query;

https://www.meritnation.com/ask-answer/question/find-the-zeroes-of-root3x-2-10x-7root3/polynomials/8133543 

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Please find this answer

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Please find this answer

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By mid term factorization.

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g(x)=√3x​​2+10x+7√3
=√3x​2+3x+7x+7√3
=√3x(x+√3)+7(x+√3)
=(x+√3)(√3x+7)
x+√3=0 .         √3x+7=0
x= -√3 .                x=- 7/√3
x= -√3, -7/√3
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Seems like you have posted an incomplete question. Assuming that you have asked to find the value of x, I will now answer your question:
root 3 x2+10 x+7 root 3=0
​=>root 3 x2+7 x+3 x+7 root 3=0
​=>x(root 3 x+7)+root 3(root 3 x+7)=0
=>(root3​x+7)(x+root 3)=0
Either,   x=-7 root 3       OR          x=- root 3

​Hope this was helpful.
From Dhiman Bhargav. Code name "Retriver 117".
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