Algebra Examples

$A = p + p r t$ 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.

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Step 3.1

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

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $p$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Rewrite the expression.

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

Step 3.2.2

Cancel the common factor of $r$ .

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Step 3.2.2.1

Cancel the common factor.

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

Step 3.2.2.2

Divide $t$ by $1$ .

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

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Cancel the common factor of $p$ .

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Step 3.3.1.1.1

Cancel the common factor.

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

Step 3.3.1.1.2

Rewrite the expression.

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

Step 3.3.1.2

Move the negative in front of the fraction.

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