Finite Math Examples

$a (n) = (- 1) (n) + c$

Step 1

Rewrite $- 1 n$ as $- n$ .

$a n = - n + c$

Step 2

Add $n$ to both sides of the equation.

$a n + n = c$

Step 3

Factor $n$ out of $a n + n$ .

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Step 3.1

Factor $n$ out of $a n$ .

$n a + n = c$

Step 3.2

Raise $n$ to the power of $1$ .

$n a + n = c$

Step 3.3

Factor $n$ out of $n^{1}$ .

$n a + n \cdot 1 = c$

Step 3.4

Factor $n$ out of $n a + n \cdot 1$ .

$n (a + 1) = c$

$n (a + 1) = c$

Step 4

Divide each term in $n (a + 1) = c$ by $a + 1$ and simplify.

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Step 4.1

Divide each term in $n (a + 1) = c$ by $a + 1$ .

$\frac{n (a + 1)}{a + 1} = \frac{c}{a + 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $a + 1$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{n (a + 1)}{a + 1} = \frac{c}{a + 1}$

Step 4.2.1.2

Divide $n$ by $1$ .

$n = \frac{c}{a + 1}$

$n = \frac{c}{a + 1}$

$n = \frac{c}{a + 1}$

$n = \frac{c}{a + 1}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$