This equation can be set up letting x be the hourly rate:40x+1.5x(52-40)=638 [40 times the rate, plus 1.5 times the rate for the hours over 40 equals the pay]40x+78x-60x=63858x=638x=11 hourly rate is $11/hr
The chosen topic is not meant for use with this type of problem.
However, if you simplify it, your answer is:
x^2 − 2x − 35
4 and a half ducks.
That's pretty much the answer.