Solve for k U=1/2kx^2

$U = \frac{1}{2} k x^{2}$

Step 1

Rewrite the equation as $\frac{1}{2} \cdot (k x^{2}) = U$ .

$\frac{1}{2} \cdot (k x^{2}) = U$

Step 2

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} \cdot (k x^{2})) = 2 U$

Step 3

Simplify the left side.

Simplify $2 (\frac{1}{2} \cdot (k x^{2}))$ .

Multiply $\frac{1}{2} (k x^{2})$ .

Combine $k$ and $\frac{1}{2}$ .

$2 (\frac{k}{2} x^{2}) = 2 U$

Combine $\frac{k}{2}$ and $x^{2}$ .

$2 \frac{k x^{2}}{2} = 2 U$

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{k x^{2}}{2} = 2 U$

Rewrite the expression.

$k x^{2} = 2 U$

Step 4

Divide each term in $k x^{2} = 2 U$ by $x^{2}$ and simplify.

Divide each term in $k x^{2} = 2 U$ by $x^{2}$ .

$\frac{k x^{2}}{x^{2}} = \frac{2 U}{x^{2}}$

Simplify the left side.

Cancel the common factor of $x^{2}$ .

Cancel the common factor.

$\frac{k x^{2}}{x^{2}} = \frac{2 U}{x^{2}}$

Divide $k$ by $1$ .

$k = \frac{2 U}{x^{2}}$