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Question

Solve the following quadratic equation by factorization method
9x29(a+b)x+(2a2+5ab+2b2)=0

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Solution

9x29(a+b)x+(2a2+5ab+2b2)=0
9x29(a+b)x+2a2+4ab+ab+2b2=0
9x29(a+b)x+2a(a+2b)+b(a+2b)=0
9x29(a+b)x+(2a+b)(a+2b)=0
9x23(2a+b)x3(a+2b)x+(2a+b)(a+2b)=0
3x(3x[2a+b])(a+2b)[3x[2a+b]]=0
[3x(a+2b)][3x(2a+b)]=0


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