SOLUTION: solve 2x²-3x-2÷10+x-3x² I can not figure this problem out.. I have tried about 12 times.. this is my last resort.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: solve 2x²-3x-2÷10+x-3x² I can not figure this problem out.. I have tried about 12 times.. this is my last resort.       Log On


   

Question 49156: solve 2x²-3x-2÷10+x-3x²
I can not figure this problem out.. I have tried about 12 times.. this is my last resort.
Found 2 solutions by longjonsilver, venugopalramana:
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
you cannot solve it...it isn't an equation...no equals sign. All you can do is simplify which will involve you factorising the numerator and denominator and then cancelling terms (if possible).

+%282x%5E2-3x-2%29%2F%2810%2Bx-3x%5E2%29+
+%282x%5E2-3x-2%29%2F%28-%283x%5E2-x-10%29%29+ --> removed the negative sign to make the squared term positive, so it is easier in my head to factorise.

+%28+%282x%2B1%29%28x-2%29+%29%2F%28-%28+%283x%2B5%29%28x-2%29+%29%29+
+%282x%2B1%29%2F%28+-%283x%2B5%29+%29+
+%282x%2B1%29%2F%28-3x-5%29+

jon.

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
solve 2x²-3x-2÷10+x-3x²
I can not figure this problem out.. I have tried about 12 times.. this is my last resort.
2x²-3x-2=2X^2-4X+X-2=2X(X-2)+1(X-2)=(X-2)(2X+1)
10+x-3x²=10+6X-5X-3X^2=2(5+3X)-X(5+3X)=(5+3X)(2-X)
HENCE 2x²-3x-2÷10+x-3x²=-(2-X)(2X+1)/(3X+5)(2-X)=-(2X+1)/(3X+5)