Precalculus Examples

$D (r) = \frac{23 r + 11}{22}$

Step 1

Set $\frac{23 r + 11}{22}$ equal to $0$ .

$\frac{23 r + 11}{22} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Set the numerator equal to zero.

$23 r + 11 = 0$

Step 2.2

Solve the equation for $x$ .

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Step 2.2.1

Subtract $11$ from both sides of the equation.

$23 r = - 11$

Step 2.2.2

Divide each term in $23 r = - 11$ by $23$ and simplify.

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Step 2.2.2.1

Divide each term in $23 r = - 11$ by $23$ .

$\frac{23 r}{23} = \frac{- 11}{23}$

Step 2.2.2.2

Simplify the left side.

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Step 2.2.2.2.1

Cancel the common factor of $23$ .

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Step 2.2.2.2.1.1

Cancel the common factor.

$\frac{23 r}{23} = \frac{- 11}{23}$

Step 2.2.2.2.1.2

Divide $r$ by $1$ .

$r = \frac{- 11}{23}$

$r = \frac{- 11}{23}$

$r = \frac{- 11}{23}$

Step 2.2.2.3

Simplify the right side.

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Step 2.2.2.3.1

Move the negative in front of the fraction.

$r = - \frac{11}{23}$

$r = - \frac{11}{23}$

$r = - \frac{11}{23}$

$r = - \frac{11}{23}$

$r = - \frac{11}{23}$

Step 3

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