Solve for u 5u^2-60=0

$5 u^{2} - 60 = 0$

Add $60$ to both sides of the equation.

$5 u^{2} = 60$

Divide each term in $5 u^{2} = 60$ by $5$ and simplify.

Divide each term in $5 u^{2} = 60$ by $5$ .

$\frac{5 u^{2}}{5} = \frac{60}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 u^{2}}{5} = \frac{60}{5}$

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

$u^{2} = \frac{60}{5}$

Simplify the right side.

Divide $60$ by $5$ .

$u^{2} = 12$

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

$u = \pm \sqrt{12}$

Simplify $\pm \sqrt{12}$ .

Rewrite $12$ as $2^{2} \cdot 3$ .

Factor $4$ out of $12$ .

$u = \pm \sqrt{4 (3)}$

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

$u = \pm \sqrt{2^{2} \cdot 3}$

Pull terms out from under the radical.

$u = \pm 2 \sqrt{3}$

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.

$u = 2 \sqrt{3}$

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

$u = - 2 \sqrt{3}$

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

$u = 2 \sqrt{3}, - 2 \sqrt{3}$

The result can be shown in multiple forms.

Exact Form:

$u = 2 \sqrt{3}, - 2 \sqrt{3}$

Decimal Form:

$u = 3.46410161 \dots, - 3.46410161 \dots$