Pre-Algebra Examples

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

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

Step 1

Rewrite the equation as

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

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

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

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

Step 2

Multiply both sides by

J

$J$ .

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

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

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Step 3.1.1

Cancel the common factor of

J

$J$ .

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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.

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

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

Step 3.1.2

Rewrite

$i^{2}$ as

$- 1$ .

$- 1 R t = Q J$

Step 3.1.3

Rewrite

$- 1 R$ as

$- R$ .

$- R t = Q J$

$- R t = Q J$

$- R t = Q J$

Step 4

Divide each term in

$- R t = Q J$ by

$- t$ and simplify.

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Step 4.1

Divide each term in

$- R t = Q J$ by

$- t$ .

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

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

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

Step 4.2.2

Cancel the common factor of

$t$ .

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Step 4.2.2.1

Cancel the common factor.

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

Step 4.2.2.2

Divide

$R$ by

$1$ .

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

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

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

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

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

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

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

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