Algebra Examples

$0 = x^{2} - 2 x$

Step 1

Rewrite the equation as $x^{2} - 2 x = 0$ .

$x^{2} - 2 x = 0$

Step 2

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

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Step 2.1

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

$x \cdot x - 2 x = 0$

Step 2.2

Factor $x$ out of $- 2 x$ .

$x \cdot x + x \cdot - 2 = 0$

Step 2.3

Factor $x$ out of $x \cdot x + x \cdot - 2$ .

$x (x - 2) = 0$

Step 3

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x = 0$

$x - 2 = 0$

Step 4

Set $x$ equal to $0$ .

$x = 0$

Step 5

Set $x - 2$ equal to $0$ and solve for $x$ .

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Step 5.1

Set $x - 2$ equal to $0$ .

$x - 2 = 0$

Step 5.2

Add $2$ to both sides of the equation.

$x = 2$

Step 6

The final solution is all the values that make $x (x - 2) = 0$ true.

$x = 0, 2$