Algebra Examples

$Q = \frac{i^{2} R t}{J}$

Step 1

Rewrite the equation as $\frac{i^{2} R t}{J} = Q$ .

$\frac{i^{2} R t}{J} = Q$

Step 2

Multiply both sides by $J$ .

$\frac{i^{2} R t}{J} J = Q J$

Step 3

Simplify the left side.

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Step 3.1

Simplify $\frac{i^{2} R t}{J} J$ .

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Step 3.1.1

Cancel the common factor of $J$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{i^{2} R t}{J} J = Q J$

Step 3.1.1.2

Rewrite the expression.

$i^{2} R t = Q J$

Step 3.1.2

Rewrite $i^{2}$ as $- 1$ .

$- 1 R t = Q J$

Step 3.1.3

Rewrite $- 1 R$ as $- R$ .

$- R t = Q J$

Step 4

Divide each term in $- R t = Q J$ by $- R$ and simplify.

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Step 4.1

Divide each term in $- R t = Q J$ by $- R$ .

$\frac{- R t}{- R} = \frac{Q J}{- R}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{R t}{R} = \frac{Q J}{- R}$

Step 4.2.2

Cancel the common factor of $R$ .

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Step 4.2.2.1

Cancel the common factor.

$\frac{R t}{R} = \frac{Q J}{- R}$

Step 4.2.2.2

Divide $t$ by $1$ .

$t = \frac{Q J}{- R}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$t = - \frac{Q J}{R}$