3X squared equals 108

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

.