Algebra Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Simplify the left side.

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Step 3.1

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

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Step 3.1.1

Cancel the common factor of $0.5$ .

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Step 3.1.1.1

Factor $0.5$ out of $0.5 l$ .

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

Step 3.1.1.2

Cancel the common factor.

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

Step 3.1.1.3

Rewrite the expression.

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

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

Step 3.1.2

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

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Step 3.1.2.1

Cancel the common factor.

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

Step 3.1.2.2

Rewrite the expression.

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

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

Step 3.1.3

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

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

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

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

Step 4

Solve for $l$ .

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Step 4.1

Multiply both sides of the equation by $2$ .

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

Step 4.2

Simplify both sides of the equation.

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Step 4.2.1

Simplify the left side.

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Step 4.2.1.1

Cancel the common factor of $2$ .

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Step 4.2.1.1.1

Cancel the common factor.

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

Step 4.2.1.1.2

Rewrite the expression.

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

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

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

Step 4.2.2

Simplify the right side.

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Step 4.2.2.1

Remove parentheses.

$l = 2 R d^{2}$

$l = 2 R d^{2}$

$l = 2 R d^{2}$

$l = 2 R d^{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$