Finite Math Examples

$Q = \frac{l^{2} R θ}{j}$

Step 1

Rewrite the equation as $\frac{l^{2} R θ}{j} = Q$ .

$\frac{l^{2} R θ}{j} = Q$

Step 2

Multiply both sides by $j$ .

$\frac{l^{2} R θ}{j} j = Q j$

Step 3

Simplify the left side.

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Step 3.1

Cancel the common factor of $j$ .

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Step 3.1.1

Cancel the common factor.

$\frac{l^{2} R θ}{j} j = Q j$

Step 3.1.2

Rewrite the expression.

$l^{2} R θ = Q j$

Step 4

Divide each term in $l^{2} R θ = Q j$ by $l^{2} θ$ and simplify.

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Step 4.1

Divide each term in $l^{2} R θ = Q j$ by $l^{2} θ$ .

$\frac{l^{2} R θ}{l^{2} θ} = \frac{Q j}{l^{2} θ}$

Step 4.2

Simplify the left side.

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Step 4.2.1

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

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Step 4.2.1.1

Cancel the common factor.

$\frac{l^{2} R θ}{l^{2} θ} = \frac{Q j}{l^{2} θ}$

Step 4.2.1.2

Rewrite the expression.

$\frac{R θ}{θ} = \frac{Q j}{l^{2} θ}$

Step 4.2.2

Cancel the common factor of $θ$ .

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Step 4.2.2.1

Cancel the common factor.

$\frac{R θ}{θ} = \frac{Q j}{l^{2} θ}$

Step 4.2.2.2

Divide $R$ by $1$ .

$R = \frac{Q j}{l^{2} θ}$