Answer:
x=+6
Step-by-step explanation:
First, let's divide both sides of the equation by
3
:
⇒
3
x
2
3
=
108
3
⇒
x
2
=
36
Then, let's subtract
36
from both sides:
⇒
x
2
−
36
=
36
−
36
⇒
x
2
−
36
=
0
The left-hand side of the equation is now in the form of a difference of squares.
We can factorise it in the following way:
⇒
(
x
+
6
)
(
x
−
6
)
=
0
Using the null factor law:
∴
x
=
±
6
Therefore, the solutions to the equation are
x
=
−
6
and
x
=
6
.
