x² - (x+1)(x+2) /5x+1 =5
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First solving numerator which is [ x² - ( x + 1 )( x + 2 ) ].
x² - [ ( x + 1 )( x + 2 ) ]
x² - [ x( x + 2 ) + 1( x + 2 ) ]
x² - [ x²+ 2x + x + 2 ]
x² - x² - 3x - 2
- 3x - 2
Therefore, on simplifying the numerator we get - 3x - 2
Therefore, [ x - ( x + 1 )( x + 2 ) ] = - 3x - 2
Then,
- 3x - 2 / 5x + 1 = 5
- 3x - 2 = 25x + 5
- 28x = 7
Therefore x = 7 / -28
x = -1/4
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