Solve the equation by completing the square. - 9n^2+79+=-18n

Hello,

-9n²+79=-18n

==>9n²-18n-79=0

==>9 (n²-2n+1-1) - 79=0

==>9 (n-1) ²-88=0

==>[3 (n-1) - 2√22][3 (n-1) + 2√22]=0

==>3 (n-1) = 2√22 or 3 (n-1) = - 2√22

==>n-1=2/3*√22 or n-1=-2/3*√22

==>n=1+2/3*√22 or n=1-2/3*√22