Question

1/2a+b+2x = 1/2a + 1/b + 1/2x​

Answer 1

${\huge{\bf{\blue{Answer}}}}$

$\frac{ 1 }{ 2a } +b+2x= \frac{ 1 }{ 2a } + \frac{ 1 }{ b } + \frac{ 1 }{ 2x } \\ = bx+2abxb+2x\times 2abx=bx+2ax+ab \\ = bx+2ab^{2}x+2x\times 2abx=bx+2ax+ab \\ = bx+2ab^{2}x+2x^{2}\times 2ab=bx+2ax+ab \\ = bx+2ab^{2}x+4x^{2}ab=bx+2ax+ab \\ = bx+2ab^{2}x+4x^{2}ab-2ax=bx+ab \\ = bx+2ab^{2}x+4x^{2}ab-2ax-ab=bx \\ = 2ab^{2}x+4x^{2}ab-2ax-ab=bx-bx \\ = 2ab^{2}x+4x^{2}ab-2ax-ab=0 \\ = \left(2b^{2}x+4x^{2}b-2x-b\right)a=0 \\ = a=0 \\ = a\in \emptyset$