Solve x:9x^2-9(a+b)x+(2a^2+5ab+2b^2)
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9x2 -9( a + b ) x + (2a2 + 5ab + 2 b2) = 0
⇒9x2 -9( a + b )x + ( 2a+b ) ( a+2b) =0 (By middle term factorization of 2a2 + 5ab + 2b2=0)
⇒9x2 - ( 6a+3b )x - ( 3a+ 6b ) x + ( 2a+b ) ( a+2b) =0
⇒3x ( 3 x - (2a+b )) - ( a + 2 b ) ( 3x -( 2a+b) ) =0
⇒( 3x -(2a +b) ) ( 3x -(a+2b) ) =0
x= 2a+b/3
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