Solve for R Q=(i^2Rt)/j

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

Step 1

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

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

Step 2

Multiply both sides by $j$ .

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

Step 3

Simplify the left side.

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

Cancel the common factor of $j$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

$- 1 R t = Q j$

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

$- R t = Q j$

Step 4

Divide each term in $- R t = Q j$ by $- 1 t$ and simplify.

Divide each term in $- R t = Q j$ by $- 1 t$ .

$\frac{- R t}{- 1 t} = \frac{Q j}{- 1 t}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{R t}{t} = \frac{Q j}{- 1 t}$

Cancel the common factor of $t$ .

Cancel the common factor.

$\frac{R t}{t} = \frac{Q j}{- 1 t}$

Divide $R$ by $1$ .

$R = \frac{Q j}{- 1 t}$

Simplify the right side.

Move the negative in front of the fraction.

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