Answer :
[tex](c-30)(c-120)=184\ \ \ \ | multiply \ both\ brackets\\\\
c^2-120c-30c+3600=184\ \ \ \ | subtract\ 184\\\\
c^2-150c+3416=\ \ \ \ | factorisation\\\\c^2-122c-28c+3416 \\\\(c-122)(c-28)=0\\\\c=122\ \ or\ \ \ c=28[/tex]
[tex](c-30)(c-120)=184\\
c^2-120c-30c+3600=184\\
c^2-150c+3416=0\\
c^2-150c+5625-2209=0\\
(c-75)^2=2209\\
c-75=\sqrt{2209} \vee c-75=-\sqrt{2209}\\
c=75+47 \vee c=75-47\\
c=122 \vee c=28
[/tex]
