Solve for a a^2-6a=0

$a^{2} - 6 a = 0$

Step 1

Factor $a$ out of $a^{2} - 6 a$ .

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

$a \cdot a - 6 a = 0$

Factor $a$ out of $- 6 a$ .

$a \cdot a + a \cdot - 6 = 0$

Factor $a$ out of $a \cdot a + a \cdot - 6$ .

$a (a - 6) = 0$

Step 2

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

$a = 0$

$a - 6 = 0$

Step 3

Set $a$ equal to $0$ .

$a = 0$

Step 4

Set $a - 6$ equal to $0$ and solve for $a$ .

Set $a - 6$ equal to $0$ .

$a - 6 = 0$

Add $6$ to both sides of the equation.

$a = 6$

Step 5

The final solution is all the values that make $a (a - 6) = 0$ true.

$a = 0, 6$