2/x+1 - 6/2x-1 + 3/3x+2 = 0
Answers
Given : 2/(x + 1) - 6/(2x - 1) + 3/(3x + 2) = 0
To Find : Solve for x
Solution:
2/(x + 1) - 6/(2x - 1) + 3/(3x + 2) = 0
=> 2/(x + 1) + 3/(3x + 2) = 6/(2x - 1)
=> (6x + 4 + 3x +3)/(x + 1)(3x + 2) = 6/(2x - 1)
=> (9x + 7) /(x + 1)(3x + 2) = 6/(2x - 1)
=> (9x + 7)(2x - 1) = 6 (x + 1)(3x + 2)
=> 18x² + 5x - 7 = 6(3x² + 5x + 2)
=> 18x² + 5x - 7 = 18x² + 30x + 12
=> 25x = -19
=> x = -19/25
Verification :
2/(-19/25 + 1) - 6/(2*(-19/25) - 1) + 3/(3(-19/25 + 2)
= 50/6 - 150/-63 + 75/-7
= 25 ( 2/6 + 6/63 - 3/7)
= 25 ( 1/3 + 2/21 - 3/7)
= 25 ( 7/21 + 2/21 - 9/21)
= 25 ( 7 + 2 - 9)/21
= 25 (0)
= 0
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