The equation is
.
Solve the equation.
\
(Original equation)
(Take out the common factor)
(Factors)
(Take out the common factor)
(Distributive property:
)
and
(Zero product property)
and
(Solve for
)
The equation has three real roots,
and
.
Check solution for
-values.
Graph:
\Graph the equation
.

Observe the graph:
\The graph cross the
- axis at
and
.
Therefore, the value of
is
and
.
The equation has three real roots.