Algebra Examples

$A - P = P r t$

Step 1

Subtract $P r t$ from both sides of the equation.

$A - P - P r t = 0$

Step 2

Subtract $A$ from both sides of the equation.

$- P - P r t = - A$

Step 3

Factor $P$ out of $- P - P r t$ .

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Step 3.1

Factor $P$ out of $- P$ .

$P \cdot - 1 - P r t = - A$

Step 3.2

Factor $P$ out of $- P r t$ .

$P \cdot - 1 + P (- 1 r t) = - A$

Step 3.3

Factor $P$ out of $P \cdot - 1 + P (- 1 r t)$ .

$P (- 1 - 1 r t) = - A$

Step 4

Rewrite $- 1 r$ as $- r$ .

$P (- 1 - r t) = - A$

Step 5

Divide each term in $P (- 1 - r t) = - A$ by $- 1 - r t$ and simplify.

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Step 5.1

Divide each term in $P (- 1 - r t) = - A$ by $- 1 - r t$ .

$\frac{P (- 1 - r t)}{- 1 - r t} = \frac{- A}{- 1 - r t}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 1 - r t$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{P (- 1 - r t)}{- 1 - r t} = \frac{- A}{- 1 - r t}$

Step 5.2.1.2

Divide $P$ by $1$ .

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

Step 5.3

Simplify the right side.

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Step 5.3.1

Move the negative in front of the fraction.

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

Step 5.3.2

Rewrite $- 1$ as $- 1 (1)$ .

$P = - \frac{A}{- 1 (1) - r t}$

Step 5.3.3

Factor $- 1$ out of $- r t$ .

$P = - \frac{A}{- 1 (1) - (r t)}$

Step 5.3.4

Factor $- 1$ out of $- 1 (1) - (r t)$ .

$P = - \frac{A}{- 1 (1 + r t)}$

Step 5.3.5

Simplify the expression.

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Step 5.3.5.1

Move the negative in front of the fraction.

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

Step 5.3.5.2

Multiply $- 1$ by $- 1$ .

$P = 1 \frac{A}{1 + r t}$

Step 5.3.5.3

Multiply $\frac{A}{1 + r t}$ by $1$ .

$P = \frac{A}{1 + r t}$