Algebra Examples

$n = \frac{x^{2} - x}{2}$

Step 1

Factor $x$ out of $x^{2} - x$ .

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Step 1.1

Factor $x$ out of $x^{2}$ .

$n = \frac{x \cdot x - x}{2}$

Step 1.2

Factor $x$ out of $- x$ .

$n = \frac{x \cdot x + x \cdot - 1}{2}$

Step 1.3

Factor $x$ out of $x \cdot x + x \cdot - 1$ .

$n = \frac{x (x - 1)}{2}$

Step 2

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

$f (x) = \frac{x (x - 1)}{2}$