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.

$r = - \frac{q j}{t}$