Calculus Examples

$0 = \frac{4 (x + 6)}{9 x^{\frac{5}{3}}}$

Step 1

Set the numerator equal to zero.

$4 (x + 6) = 0$

Step 2

Solve the equation for $x$ .

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Step 2.1

Divide each term in $4 (x + 6) = 0$ by $4$ and simplify.

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Step 2.1.1

Divide each term in $4 (x + 6) = 0$ by $4$ .

$\frac{4 (x + 6)}{4} = \frac{0}{4}$

Step 2.1.2

Simplify the left side.

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Step 2.1.2.1

Cancel the common factor of $4$ .

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Step 2.1.2.1.1

Cancel the common factor.

$\frac{4 (x + 6)}{4} = \frac{0}{4}$

Step 2.1.2.1.2

Divide $x + 6$ by $1$ .

$x + 6 = \frac{0}{4}$

$x + 6 = \frac{0}{4}$

$x + 6 = \frac{0}{4}$

Step 2.1.3

Simplify the right side.

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Step 2.1.3.1

Divide $0$ by $4$ .

$x + 6 = 0$

$x + 6 = 0$

$x + 6 = 0$

Step 2.2

Subtract $6$ from both sides of the equation.

$x = - 6$

$x = - 6$

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