Answer
$ x= 1 , -7$
Work Step by Step
$x(x+6) = 7$
$x^2 + 6x = 7$
$x^2 + 6x - 7 = 7 - 7$
$x^2 + 6x - 7 = 0$
$x^2 - x + 7x - 7 = 0$
$x ( x - 1) + 7( x- 1)= 0$
$(x-1) ( x + 7) = 0$
Therefore
$x-1 = 0$
$x = 1$
OR
$x+7 = 0$
$ x= -7$
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