···
So,
and
Substituting,
Get a 0 on the right:
factor out
Simplify the last parentheses:
Factor the last parentheses:
Setting each factor = 0, we get the
solutions:
, , , , .
The first three are considered correct,
because when ,
And is a solution. But the last one
is not a solution because permutations
are not defined for negative numbers.
So the four solutions are
, , ,
Possibly your teacher may want only
the solution ; however, the first
three are solutions since they cause
both sides of the original equation
to equal 0.
Edwin