Solve for l R=(0.5l)/(d^2)

$R = \frac{0.5 l}{d^{2}}$

Rewrite the equation as $\frac{0.5 l}{d^{2}} = R$ .

$\frac{0.5 l}{d^{2}} = R$

Multiply both sides by $d^{2}$ .

$\frac{0.5 l}{d^{2}} d^{2} = R d^{2}$

Simplify the left side.

Simplify $\frac{0.5 l}{d^{2}} d^{2}$ .

Cancel the common factor of $0.5$ .

Factor $0.5$ out of $0.5 l$ .

$\frac{0.5 (l)}{d^{2}} d^{2} = R d^{2}$

Cancel the common factor.

$\frac{0.5 l}{d^{2}} d^{2} = R d^{2}$

Rewrite the expression.

$\frac{l}{d^{2}} \cdot \frac{d^{2}}{2} = R d^{2}$

$\frac{l}{d^{2}} \cdot \frac{d^{2}}{2} = R d^{2}$

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

Cancel the common factor.

$\frac{l}{d^{2}} \cdot \frac{d^{2}}{2} = R d^{2}$

Rewrite the expression.

$l \frac{1}{2} = R d^{2}$

$l \frac{1}{2} = R d^{2}$

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

$\frac{l}{2} = R d^{2}$

$\frac{l}{2} = R d^{2}$

$\frac{l}{2} = R d^{2}$

Solve for $l$ .

Multiply both sides of the equation by $2$ .

$2 \frac{l}{2} = 2 (R d^{2})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{l}{2} = 2 (R d^{2})$

Rewrite the expression.

$l = 2 (R d^{2})$

$l = 2 (R d^{2})$

$l = 2 (R d^{2})$

Simplify the right side.

Remove parentheses.

$l = 2 R d^{2}$

$l = 2 R d^{2}$

$l = 2 R d^{2}$

$l = 2 R d^{2}$

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