Solve for a ax+2ay=0

$a x + 2 a y = 0$

Step 1

Factor $a$ out of $a x + 2 a y$ .

Factor $a$ out of $a x$ .

$a (x) + 2 a y = 0$

Factor $a$ out of $2 a y$ .

$a (x) + a (2 y) = 0$

Factor $a$ out of $a (x) + a (2 y)$ .

$a (x + 2 y) = 0$

Step 2

Divide each term in $a (x + 2 y) = 0$ by $x + 2 y$ and simplify.

Divide each term in $a (x + 2 y) = 0$ by $x + 2 y$ .

$\frac{a (x + 2 y)}{x + 2 y} = \frac{0}{x + 2 y}$

Simplify the left side.

Cancel the common factor of $x + 2 y$ .

Cancel the common factor.

$\frac{a (x + 2 y)}{x + 2 y} = \frac{0}{x + 2 y}$

Divide $a$ by $1$ .

$a = \frac{0}{x + 2 y}$

Simplify the right side.

Divide $0$ by $x + 2 y$ .

$a = 0$