Solve for j b=1/2jp

$b = \frac{1}{2} j p$

Step 1

Rewrite the equation as $\frac{1}{2} \cdot (j p) = b$ .

$\frac{1}{2} \cdot (j p) = b$

Step 2

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} \cdot (j p)) = 2 b$

Step 3

Simplify the left side.

Simplify $2 (\frac{1}{2} \cdot (j p))$ .

Multiply $\frac{1}{2} (j p)$ .

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

$2 (\frac{j}{2} p) = 2 b$

Combine $\frac{j}{2}$ and $p$ .

$2 \frac{j p}{2} = 2 b$

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{j p}{2} = 2 b$

Rewrite the expression.

$j p = 2 b$

Step 4

Divide each term in $j p = 2 b$ by $p$ and simplify.

Divide each term in $j p = 2 b$ by $p$ .

$\frac{j p}{p} = \frac{2 b}{p}$

Simplify the left side.

Cancel the common factor of $p$ .

Cancel the common factor.

$\frac{j p}{p} = \frac{2 b}{p}$

Divide $j$ by $1$ .

$j = \frac{2 b}{p}$