Questions on Algebra: Proportions answered by real tutors!

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Question 150083: Solve the prportion:
41.) x square+5x+6 over x square-2x-8 = x square -4x-5 over x square-8x+15
Please and thank you
: Solve the prportion:
41.) x square+5x+6 over x square-2x-8 = x square -4x-5 over x square-8x+15
Please and thank you

Answer by scott8148(2759) About Me  (Show Source):
You can put this solution on YOUR website!
factoring __ ((x+3)(x+2))/((x-4)(x+2))=((x-5)(x+1))/((x-5)(x-3))

cancelling __ (x+3)/(x+4)=(x+1)/(x-3)

"cross" multiplying __ x^2-9=x^+5x+4 __ subtracting x^2+4 __ -13=5x __ dividing by -13 __ x=-5/13