SOLUTION: Simplify the rational expression: (-x^2 + 10x -21)/(-3x^2 + 23x -14)

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Question 442829: Simplify the rational expression:
(-x^2 + 10x -21)/(-3x^2 + 23x -14)
Answer by kittycat1613(12) About Me  (Show Source):
You can put this solution on YOUR website!
(-x^2 + 10x -21)/(-3x^2 + 23x -14)
(x-7)(-x+3)/(-3x+2)(x-7)
divide x-7 from both sides
(-x+3)/(-3x+2)
-1(x-3)/ -1(3x-2)
divide -1 from both sides
Final Answer:
(x-3)/(3x-2)