## College Algebra (10th Edition)

$x= 2$
$(x + 7)(x - 1) = (x+1)^{2}$ The simplest and fastest way to solve this equation is by expanding and then simplifying. $x^{2} + 7x - x - 7 = x^{2} + 2x + 1$ $x^{2} + 6x - 7 = x^{2} + 2x + 1$ $x^{2} - x^{2} + 6x - 2x = 1 + 7$ $4x = 8$ $x = 2$