Algebra Examples

$c (n) = 20 n + 15$

Step 1

Subtract $20 n$ from both sides of the equation.

$c n - 20 n = 15$

Step 2

Factor $n$ out of $c n - 20 n$ .

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Step 2.1

Factor $n$ out of $c n$ .

$n c - 20 n = 15$

Step 2.2

Factor $n$ out of $- 20 n$ .

$n c + n \cdot - 20 = 15$

Step 2.3

Factor $n$ out of $n c + n \cdot - 20$ .

$n (c - 20) = 15$

Step 3

Divide each term in $n (c - 20) = 15$ by $c - 20$ and simplify.

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Step 3.1

Divide each term in $n (c - 20) = 15$ by $c - 20$ .

$\frac{n (c - 20)}{c - 20} = \frac{15}{c - 20}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $c - 20$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{n (c - 20)}{c - 20} = \frac{15}{c - 20}$

Step 3.2.1.2

Divide $n$ by $1$ .

$n = \frac{15}{c - 20}$

Step 4

To rewrite as a function of $c$ , write the equation so that $n$ is by itself on one side of the equal sign and an expression involving only $c$ is on the other side.

$f (c) = \frac{15}{c - 20}$