book Maths Puzzle Numerical Ability

Solve by Factoring:

x^2-9x=-20
x^2-9x+20=0
x^2-4x-5x+20=0
x(x-4)+(-5)(x-4)=0
(x-5)(x-4)=0
(x-5) or (x-4)
x=5 or x=4
Is this Correct? Thank you

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book Other Question

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You have at least $30 in change in your drawer, consisting of
dimes and quarters. Write an inequality that shows the different number of coins in your drawer.

Thank you!