Solve for a a^2-ac=0

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

Step 1

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

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

$a \cdot a - a c = 0$

Factor $a$ out of $- a c$ .

$a \cdot a + a (- 1 c) = 0$

Factor $a$ out of $a \cdot a + a (- 1 c)$ .

$a (a - 1 c) = 0$

Step 2

Rewrite $- 1 c$ as $- c$ .

$a (a - c) = 0$

Step 3

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

$a = 0$

$a - c = 0$

Step 4

Set $a$ equal to $0$ .

$a = 0$

Step 5

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

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

$a - c = 0$

Add $c$ to both sides of the equation.

$a = c$

Step 6

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

$a = 0$

$a = c$