Precalculus Examples

$2 x = \frac{π}{6}$

Step 1

Divide each term in $2 x = \frac{π}{6}$ by $2$ .

$\frac{2 x}{2} = \frac{\frac{π}{6}}{2}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{\frac{π}{6}}{2}$

Step 2.1.2

Divide $x$ by $1$ .

$x = \frac{\frac{π}{6}}{2}$

$x = \frac{\frac{π}{6}}{2}$

$x = \frac{\frac{π}{6}}{2}$

Step 3

Simplify the right side.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{π}{6} \cdot \frac{1}{2}$

Step 3.2

Multiply $\frac{π}{6} \cdot \frac{1}{2}$ .

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Step 3.2.1

Multiply $\frac{π}{6}$ by $\frac{1}{2}$ .

$x = \frac{π}{6 \cdot 2}$

Step 3.2.2

Multiply $6$ by $2$ .

$x = \frac{π}{12}$

$x = \frac{π}{12}$

$x = \frac{π}{12}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{π}{12}$

Decimal Form:

$x = 0.26179938 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$