The equation is .
Solve the equation.
\ (Original equation)
(LCM of
is
)
(Apply distributive property:
)
(Combine like terms)
(Multiply each side by
)
(Cancel common terms)
(Apply distributive property:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Take out common factor)
(Factors)
and
.
Check:
\case(i):
(Original equation)
(Substitute
in the equation)
case(ii):
(Original equation)
(Substitute
in the equation)
Since, and
results in a zero in the denominator of the original equation.
It is an extraneous solution.
\Therefore, there is no solution.
\\
There is no solution.
\