Pre-Algebra Examples

$8 y^{2} = 0$

Step 1

Divide each term in $8 y^{2} = 0$ by $8$ and simplify.

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Step 1.1

Divide each term in $8 y^{2} = 0$ by $8$ .

$\frac{8 y^{2}}{8} = \frac{0}{8}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $8$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{8 y^{2}}{8} = \frac{0}{8}$

Step 1.2.1.2

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

$y^{2} = \frac{0}{8}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $0$ by $8$ .

$y^{2} = 0$

Step 2

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

$y = \pm \sqrt{0}$

Step 3

Simplify $\pm \sqrt{0}$ .

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Step 3.1

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

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

Step 3.2

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

$y = \pm 0$

Step 3.3

Plus or minus $0$ is $0$ .

$y = 0$