9(s+4)^2-62(s+4)=7

Question

Solve for s

Answer 1

let u = s+4

9u^2-62u=7
9u^2-62u-7 = 0
(9u+1)(u-7) = 0
u = -1/9 or 7

s = -37/9 or 3

Or, you can expand everything and get

9(s^2+8s+16) - 62(s+4) - 7 = 0
9s^2 + 72s + 144 - 62s - 248 - 7 = 0
9s^2+10s-111 = 0
(9s+37)(s-3) = 0