Do not use a calculator in this question.

(a) Given that

\(\frac{6^p\times8^{p+2}\times3^q}{9^{2q-3}}\)

is equal to \(2^7\times3^4\), find the value of each of the constants \(p\) and \(q\).

(b) Using the substitution \(u=x^{1/3}\), or otherwise, solve

\(4x^{1/3}+x^{2/3}+3=0.\)