Solve the following equation for x :
1 /x+1 + 2/x+2 = 7/x+5,x is not equal to -1,-2,-5
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Step-by-step explanation:
After correction, the eqn
1/(x+1) +2/(x+2) = 7/(x+5) ......x≠ -1, -2, -5
=> 1/(x+1)+2/(x+2)-7/(x+5)= 0
=> (x+2)(x+5)+2(x+1)(x+5)-7(x+1)(x+2) = 0
=> x²+7x+10+2x²+12x+10-7x²-21x-14= 0
=> -4x²-2x+6 =0
=> 2x²+x-3 = 0
=> 2x²-2x+3x-3=0
=> 2x(x-1) +3(x-1)=0
=> (x-1) (2x+3)=0
=> x= 1 or x= -3/2
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