Basic Math Examples

$18 = 2 t^{2}$

Step 1

Rewrite the equation as

$2 t^{2} = 18$ .

$2 t^{2} = 18$

Step 2

Divide each term in

$2 t^{2} = 18$ by

$2$ and simplify.

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Step 2.1

Divide each term in

$2 t^{2} = 18$ by

$2$ .

$\frac{2 t^{2}}{2} = \frac{18}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

$2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 t^{2}}{2} = \frac{18}{2}$

Step 2.2.1.2

Divide

$t^{2}$ by

$1$ .

$t^{2} = \frac{18}{2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide

$18$ by

$2$ .

$t^{2} = 9$

Step 3

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

$t = \pm \sqrt{9}$

Step 4

Simplify

$\pm \sqrt{9}$ .

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Step 4.1

Rewrite

$9$ as

$3^{2}$ .

$t = \pm \sqrt{3^{2}}$

Step 4.2

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

$t = \pm 3$

Step 5

The complete solution is the result of both the positive and negative portions of the solution.

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Step 5.1

First, use the positive value of the

$\pm$ to find the first solution.

$t = 3$

Step 5.2

Next, use the negative value of the

$\pm$ to find the second solution.

$t = - 3$

Step 5.3

The complete solution is the result of both the positive and negative portions of the solution.

$t = 3, - 3$

$18 = 2 t^{2}$

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