Solve the given equation tan2 7 sec 7 Please show all steps

Solve the given equation. tan2() 7 sec() = 7 Please show all steps including factoring out part. Thx

tan^2theta-7sec theta =7

sec^2theta-1 -7sectheta -7=0

sec^2theta-7 sectheta-8=0

sec^2theta -8sectheta+sectheta-8=0

sectheta(sectheta-8)+1(sectheta-8)=0

sectheta+1 =0 and sec theta -8=0

sectheta =-1 and sec theta = 8

theta = pi , theta = arc sec( 8) answer