am i correct on this?

question: solve and check square of 5x+6 is equal to x

work and answer: square each side
5x+6=x^2
subtract 5x-6 on both sides
0=x^2-5x-6
(x+1)(x-6)
x+1=0 subtract -1 on each side x= -1 is a reject
x-6=0 add 6 on each side x=6 and 6 was my answer and the check by plugging in 6 worked out

looks ok to me, aside from using "square of" to mean "square root of"