Precalculus Examples

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

Step 1

Set the numerator equal to zero.

$3 x - 5 = 0$

Step 2

Solve the equation for $x$ .

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Step 2.1

Add $5$ to both sides of the equation.

$3 x = 5$

Step 2.2

Divide each term in $3 x = 5$ by $3$ and simplify.

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Step 2.2.1

Divide each term in $3 x = 5$ by $3$ .

$\frac{3 x}{3} = \frac{5}{3}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $3$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{5}{3}$

Step 2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{5}{3}$

$x = \frac{5}{3}$

$x = \frac{5}{3}$

$x = \frac{5}{3}$

$x = \frac{5}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5}{3}$

Decimal Form:

$x = 1.\overline{6}$

Mixed Number Form:

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

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