Use Undoing.

$2(x−1)^2=32$
$(x−1)^2=16$

Look inside.

$x−1=\pm4$

$x=−3,5$

See part (a) for possible strategies.

$m=35$

Start by multiplying both sides by $6$.

Check your answer in the original equation to be sure you have found the correct solution.

$\frac{4x+2}{2}=2x+1$