Finite Math Examples

$d e = d p + 2 m$

Step 1

Subtract $d p$ from both sides of the equation.

$d e - d p = 2 m$

Step 2

Factor $d$ out of $d e - d p$ .

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Step 2.1

Factor $d$ out of $d e$ .

$d (e) - d p = 2 m$

Step 2.2

Factor $d$ out of $- d p$ .

$d (e) + d (- 1 p) = 2 m$

Step 2.3

Factor $d$ out of $d (e) + d (- 1 p)$ .

$d (e - 1 p) = 2 m$

Step 3

Rewrite $- 1 p$ as $- p$ .

$d (e - p) = 2 m$

Step 4

Divide each term in $d (e - p) = 2 m$ by $e - p$ and simplify.

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Step 4.1

Divide each term in $d (e - p) = 2 m$ by $e - p$ .

$\frac{d (e - p)}{e - p} = \frac{2 m}{e - p}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $e - p$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{d (e - p)}{e - p} = \frac{2 m}{e - p}$

Step 4.2.1.2

Divide $d$ by $1$ .

$d = \frac{2 m}{e - p}$