Question

11 − 2(x + 6)^2 = 0

Answer 1

Well I would just add -2(x + 6)^2 to both sides

\[\large 11 = 2(x + 6)^2\]

now we can divide by 2

\[\large \frac{11}{2} = (x + 6)^2\]

square root both sides

\[\large \pm\sqrt{\frac{11}{2}} = x + 6\]

and finally subtract both sides by 6

\[\large x = \pm\sqrt{\frac{11}{2}} - 6\]

which you can then break into 2 equations and solve for 'x'