Solve for t A=p+prt for t

$A = p + p r t$ for $t$

Step 1

Rewrite the equation as $p + p r t = A$ .

$p + p r t = A$

Step 2

Subtract $p$ from both sides of the equation.

$p r t = A - p$

Step 3

Divide each term in $p r t = A - p$ by $p r$ and simplify.

Divide each term in $p r t = A - p$ by $p r$ .

$\frac{p r t}{p r} = \frac{A}{p r} + \frac{- p}{p r}$

Simplify the left side.

Cancel the common factor of $p$ .

Cancel the common factor.

$\frac{p r t}{p r} = \frac{A}{p r} + \frac{- p}{p r}$

Rewrite the expression.

$\frac{r t}{r} = \frac{A}{p r} + \frac{- p}{p r}$

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{r t}{r} = \frac{A}{p r} + \frac{- p}{p r}$

Divide $t$ by $1$ .

$t = \frac{A}{p r} + \frac{- p}{p r}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $p$ .

Cancel the common factor.

$t = \frac{A}{p r} + \frac{- p}{p r}$

Rewrite the expression.

$t = \frac{A}{p r} + \frac{- 1}{r}$

Move the negative in front of the fraction.

$t = \frac{A}{p r} - \frac{1}{r}$