Question

Solve x2 + 6x = 7 by completing the square. What is the solution set of the equation?

Answer 1

$x^2+6x=7$
$x^2+6x+9=7+9$
$(x+3)^2=16$
$(x+3)^2=4^2$
$x+3=4\lor x+3=-4$
$x=4-3\lor x=-4-3$
$\boxed{x=1\lor x=-7}$