Simplification Question: Steps from First Line to Second Line

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Homework Statement


Does anyone know what was done to go from the first line to the second?

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The Attempt at a Solution


I don't know what sequence of steps they did after the angle was factored.
I think both sides were then multiplied by [tex]\frac{mls^2}{(M+m)(I+ml^2)}[/tex] or something?
 
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  • Two equations: a line with (M + m)[(I + ml^2)/(ml) - g/s^2] Phi(s)s^2 + b[...] Phi(s)s - ml Phi(s)s^2 = U(s), followed by equation (16) Phi(s)/U(s) = (ml/q)s^2 over a quartic-style denominator, and equation (17) q = [(M + m)(I + ml^2) - (ml)^2].
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From the original equation get a common denominator, mls2. for all terms. collect terms in s4,s3,s2 and s.
write Φ/U divide the numerator and denominator by the coefficient of the s4 term which is q. DA DA.