The equation is
.
Apply zero product property: If ab = 0 then a = 0, b = 0.
\
First
.
Apply addition property of equality: If a = b then a + b = b + a.
\Add 3 to each side.
\
Apply additive inverse property:
.


Divide each side by 2.
\

Second
.
Apply addition property of equality: If a = b then a + b = b + a.
\\
Add 8 to each side.
\
Apply additive inverse property:
.


Divide each side by 3.
\

Check:
\To check the solution substitute
in
.


Apply additive inverse property:
.


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


Apply additive inverse property: 8
8 = 0.


The second solution
is true.
The values of
.