The equation is
.
Rewrite the equation
.
Group terms with common factors.
\
Factor the G.C.F from each grouping.
\
Combine like terms using distributive property:
.

Apply zero product property: If ab = 0 then a = 0, b = 0.
\
First
.
Apply subtraction property of equality: If a = b then a
b = b
a.
Subtract 3 from each side.
\
Apply additive inverse property:
.


Second
.
Apply subtraction property of equality: If a = b then a
b = b
a.
Subtract 2 from each side.
\
Apply additive inverse property:
.


Divide each side by 3.
\

Check:
\To check the solution substitute
in
.


Product of two different sings is negative.
\


The first solution
is true.
To check the solution substitute
in
.


Product of two different sings is negative.
\



The second solution
is true.
The values of
.