Calculus Examples

$6 x - 14 = 0$

Step 1

Add $14$ to both sides of the equation.

$6 x = 14$

Step 2

Divide each term in $6 x = 14$ by $6$ and simplify.

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Step 2.1

Divide each term in $6 x = 14$ by $6$ .

$\frac{6 x}{6} = \frac{14}{6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{14}{6}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{14}{6}$

$x = \frac{14}{6}$

$x = \frac{14}{6}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $14$ and $6$ .

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Step 2.3.1.1

Factor $2$ out of $14$ .

$x = \frac{2 (7)}{6}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $2$ out of $6$ .

$x = \frac{2 \cdot 7}{2 \cdot 3}$

Step 2.3.1.2.2

Cancel the common factor.

$x = \frac{2 \cdot 7}{2 \cdot 3}$

Step 2.3.1.2.3

Rewrite the expression.

$x = \frac{7}{3}$

$x = \frac{7}{3}$

$x = \frac{7}{3}$

$x = \frac{7}{3}$

$x = \frac{7}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{7}{3}$

Decimal Form:

$x = 2.\overline{3}$

Mixed Number Form:

$x = 2 \frac{1}{3}$

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