book Maths Puzzle Numerical Ability

graph: y = 3 sin 2theta

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I think I did this one right
solve by factoring
5x^2-19x+18=0
5x^2-10x-9x+18=0
5x(x-2)-9(x-2)=0
x-2=0 5x-9=0

x=2 x=1/4

is this the correct ans.
4(5n-7)=10n+2