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Solve each of the following equations : `(2x)/3-(3x)/8=7/(12)` `(ii)(x+2)(x+3)+(x-3)(x-2)-2x(x+1)=0`

Text Solution

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(i) `(2x)/3-(3x)/8=7/(12)`
`=>(16x -9x)/24 =7/12`
`=>7x/24=7/12`
`=>x = 2`

(ii)`(x+2)(x+3)+(x-3)(x-2)-2x(x+1)=0`
`=> x²+3x+2x+6+x²-2x-3x+6-2x²-2x=0`
`=> x²+5x+6+x²-5x+6-2x²-2x=0`
`=> x²+x²-2x²+5x-5x-2x+6+6=0`
`=> -2x+12=0`
`=> -2x=-12`
`=> x = (-12)/(-2)`
`=> x = 6`
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