Algebra Examples

$0 = 3 x^{2}$

Step 1

Rewrite the equation as $3 x^{2} = 0$ .

$3 x^{2} = 0$

Step 2

Divide each term in $3 x^{2} = 0$ by $3$ and simplify.

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Step 2.1

Divide each term in $3 x^{2} = 0$ by $3$ .

$\frac{3 x^{2}}{3} = \frac{0}{3}$

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.

$\frac{3 x^{2}}{3} = \frac{0}{3}$

Step 2.2.1.2

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

$x^{2} = \frac{0}{3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $0$ by $3$ .

$x^{2} = 0$

Step 3

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

$x = \pm \sqrt{0}$

Step 4

Simplify $\pm \sqrt{0}$ .

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Step 4.1

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

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

Step 4.2

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

$x = \pm 0$

Step 4.3

Plus or minus $0$ is $0$ .

$x = 0$