Calculus Examples

$f (x) = \frac{5 x - 2}{3}$

Step 1

Set $\frac{5 x - 2}{3}$ equal to $0$ .

$\frac{5 x - 2}{3} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Set the numerator equal to zero.

$5 x - 2 = 0$

Step 2.2

Solve the equation for $x$ .

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Step 2.2.1

Add $2$ to both sides of the equation.

$5 x = 2$

Step 2.2.2

Divide each term in $5 x = 2$ by $5$ and simplify.

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Step 2.2.2.1

Divide each term in $5 x = 2$ by $5$ .

$\frac{5 x}{5} = \frac{2}{5}$

Step 2.2.2.2

Simplify the left side.

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Step 2.2.2.2.1

Cancel the common factor of $5$ .

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Step 2.2.2.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{2}{5}$

Step 2.2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{2}{5}$

$x = \frac{2}{5}$

$x = \frac{2}{5}$

$x = \frac{2}{5}$

$x = \frac{2}{5}$

$x = \frac{2}{5}$

Step 3

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