Solve for a (12a)(11a-1)=0

$(12 a) (11 a - 1) = 0$

Step 1

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

$a = 0$

$11 a - 1 = 0$

Step 2

Set $a$ equal to $0$ .

$a = 0$

Step 3

Set $11 a - 1$ equal to $0$ and solve for $a$ .

Set $11 a - 1$ equal to $0$ .

$11 a - 1 = 0$

Solve $11 a - 1 = 0$ for $a$ .

Add $1$ to both sides of the equation.

$11 a = 1$

Divide each term in $11 a = 1$ by $11$ and simplify.

Divide each term in $11 a = 1$ by $11$ .

$\frac{11 a}{11} = \frac{1}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 a}{11} = \frac{1}{11}$

Divide $a$ by $1$ .

$a = \frac{1}{11}$

Step 4

The final solution is all the values that make $12 a (11 a - 1) = 0$ true.

$a = 0, \frac{1}{11}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$a = 0, \frac{1}{11}$

Decimal Form:

$a = 0, 0.\overline{09}$