700 followers problem (2 in 1)

Algebra Level 3

In \({ (4{ x }^{ 2 }+\frac { 1 }{ 2x } ) }^{ 15 }\) Find the value of \(y+z\) when \(y\) is the term which has no \(x\) and \(z\) is the value of \(x\) which makes the two middle terms are equal to each other.

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