Solve Using the Square Root Property 6x^2=96

$6 x^{2} = 96$

Step 1

Divide each term in $6 x^{2} = 96$ by $6$ and simplify.

Divide each term in $6 x^{2} = 96$ by $6$ .

$\frac{6 x^{2}}{6} = \frac{96}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x^{2}}{6} = \frac{96}{6}$

Divide $x^{2}$ by $1$ .

$x^{2} = \frac{96}{6}$

Simplify the right side.

Divide $96$ by $6$ .

$x^{2} = 16$

Step 2

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt{16}$

Step 3

Simplify $\pm \sqrt{16}$ .

Rewrite $16$ as $4^{2}$ .

$x = \pm \sqrt{4^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$x = \pm 4$

Step 4

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$x = 4$

Next, use the negative value of the $\pm$ to find the second solution.

$x = - 4$

The complete solution is the result of both the positive and negative portions of the solution.

$x = 4, - 4$