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Given the open-loop transfer function \( G(s)H(s) = \frac{K}{s(1 + 0.4s)(1 + 0.25s)} \), the characteristic equation for a unity feedback system is \( 1 + G(s)H(s) = 0 \). Substituting \( G(s)H(s) \) gives:
\[ 1 + \frac{K}{s(1 + 0.4s)(1 + 0.25s)} = 0 \]
\[ s(1 +
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