Calculus Examples

$\arctan (5 x) = 0$

Step 1

Take the inverse arctangent of both sides of the equation to extract $x$ from inside the arctangent.

$5 x = \tan (0)$

Step 2

Simplify the right side.

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Step 2.1

The exact value of $\tan (0)$ is $0$ .

$5 x = 0$

Step 3

Divide each term in $5 x = 0$ by $5$ and simplify.

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Step 3.1

Divide each term in $5 x = 0$ by $5$ .

$\frac{5 x}{5} = \frac{0}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{0}{5}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{0}{5}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $0$ by $5$ .

$x = 0$