Precalculus Examples

$- \frac{1}{6} \cdot (p x) = 1$

Step 1

Multiply both sides of the equation by $- 6$ .

$- 6 (- \frac{1}{6} \cdot (p x)) = - 6 \cdot 1$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $- 6 (- \frac{1}{6} \cdot (p x))$ .

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Step 2.1.1.1

Multiply $- \frac{1}{6} (p x)$ .

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Step 2.1.1.1.1

Combine $p$ and $\frac{1}{6}$ .

$- 6 (- \frac{p}{6} x) = - 6 \cdot 1$

Step 2.1.1.1.2

Combine $x$ and $\frac{p}{6}$ .

$- 6 (- \frac{x p}{6}) = - 6 \cdot 1$

$- 6 (- \frac{x p}{6}) = - 6 \cdot 1$

Step 2.1.1.2

Cancel the common factor of $6$ .

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Step 2.1.1.2.1

Move the leading negative in $- \frac{x p}{6}$ into the numerator.

$- 6 \frac{- x p}{6} = - 6 \cdot 1$

Step 2.1.1.2.2

Factor $6$ out of $- 6$ .

$6 (- 1) \frac{- x p}{6} = - 6 \cdot 1$

Step 2.1.1.2.3

Cancel the common factor.

$6 \cdot - 1 \frac{- x p}{6} = - 6 \cdot 1$

Step 2.1.1.2.4

Rewrite the expression.

$- (- x p) = - 6 \cdot 1$

$- (- x p) = - 6 \cdot 1$

Step 2.1.1.3

Multiply.

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Step 2.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 (x p) = - 6 \cdot 1$

Step 2.1.1.3.2

Multiply $x$ by $1$ .

$x p = - 6 \cdot 1$

$x p = - 6 \cdot 1$

$x p = - 6 \cdot 1$

$x p = - 6 \cdot 1$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 6$ by $1$ .

$x p = - 6$

$x p = - 6$

$x p = - 6$

Step 3

Divide each term in $x p = - 6$ by $p$ and simplify.

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Step 3.1

Divide each term in $x p = - 6$ by $p$ .

$\frac{x p}{p} = \frac{- 6}{p}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $p$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{x p}{p} = \frac{- 6}{p}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 6}{p}$

$x = \frac{- 6}{p}$

$x = \frac{- 6}{p}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$x = - \frac{6}{p}$

$x = - \frac{6}{p}$

$x = - \frac{6}{p}$

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