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Given :
... x² + 7x + 6 = 0
... x² + x + 6x + 6 = 0
... x ( x + 1 ) + 6 ( x + 1 ) = 0
... ( x + 6 )( x + 1 ) = 0
... x + 6 = 0
.. x = -6
... x + 1 = 0
.. x = -1
Hope my answer helps!!
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