book Maths Puzzle Numerical Ability

THE GREATES COMMON FACTOR OF P AND Q. THEN DIVIDE THE COMMON FACTOR SO THAT THE LEADING COEFFICIENT IS P(X)=X4+2X^3+6X^2+8X+8 Q(X)=X^4+2X^3+8X^2+8X+16 THE GREATES COMMON FACTOR I

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Solve for :

x^2-100/x^2+12x+20 times x^2+20x+100/x-10 = 18x+99/x+2

This is a real headache I can not figure it out 4Y(-3XY)