Algebra Examples

$\frac{6 y^{3} + 2 y^{2}}{10 y^{2}}$

Step 1

Set the denominator in $\frac{6 y^{3} + 2 y^{2}}{10 y^{2}}$ equal to $0$ to find where the expression is undefined.

$10 y^{2} = 0$

Step 2

Solve for $y$ .

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Step 2.1

Divide each term in $10 y^{2} = 0$ by $10$ and simplify.

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Step 2.1.1

Divide each term in $10 y^{2} = 0$ by $10$ .

$\frac{10 y^{2}}{10} = \frac{0}{10}$

Step 2.1.2

Simplify the left side.

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Step 2.1.2.1

Cancel the common factor of $10$ .

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Step 2.1.2.1.1

Cancel the common factor.

$\frac{10 y^{2}}{10} = \frac{0}{10}$

Step 2.1.2.1.2

Divide $y^{2}$ by $1$ .

$y^{2} = \frac{0}{10}$

Step 2.1.3

Simplify the right side.

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Step 2.1.3.1

Divide $0$ by $10$ .

$y^{2} = 0$

Step 2.2

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$y = \pm \sqrt{0}$

Step 2.3

Simplify $\pm \sqrt{0}$ .

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Step 2.3.1

Rewrite $0$ as $0^{2}$ .

$y = \pm \sqrt{0^{2}}$

Step 2.3.2

Pull terms out from under the radical, assuming positive real numbers.

$y = \pm 0$

Step 2.3.3

Plus or minus $0$ is $0$ .

$y = 0$

Step 3