Algebra Examples

$\frac{12 a^{6}}{5} \div \frac{4}{3 a}$

Step 1

Set the denominator in $\frac{4}{3 a}$ equal to $0$ to find where the expression is undefined.

$3 a = 0$

Step 2

Divide each term in $3 a = 0$ by $3$ and simplify.

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Step 2.1

Divide each term in $3 a = 0$ by $3$ .

$\frac{3 a}{3} = \frac{0}{3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{3 a}{3} = \frac{0}{3}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a = \frac{0}{3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $0$ by $3$ .

$a = 0$

Step 3

Set the denominator in $\frac{12 a^{6}}{5} \div \frac{4}{3 a}$ equal to $0$ to find where the expression is undefined.

$\frac{4}{3 a} = 0$

Step 4

Solve for $a$ .

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Step 4.1

Set the numerator equal to zero.

$4 = 0$

Step 4.2

Since $4 \neq 0$ , there are no solutions.

No solution

Step 5

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$a = 0$

Step 6