Calculus Examples

$q = 9000 - 100 p$

Step 1

Rewrite the equation as $9000 - 100 p = q$ .

$9000 - 100 p = q$

Step 2

Subtract $9000$ from both sides of the equation.

$- 100 p = q - 9000$

Step 3

Divide each term in $- 100 p = q - 9000$ by $- 100$ and simplify.

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Step 3.1

Divide each term in $- 100 p = q - 9000$ by $- 100$ .

$\frac{- 100 p}{- 100} = \frac{q}{- 100} + \frac{- 9000}{- 100}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 100$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 100 p}{- 100} = \frac{q}{- 100} + \frac{- 9000}{- 100}$

Step 3.2.1.2

Divide $p$ by $1$ .

$p = \frac{q}{- 100} + \frac{- 9000}{- 100}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Move the negative in front of the fraction.

$p = - \frac{q}{100} + \frac{- 9000}{- 100}$

Step 3.3.1.2

Divide $- 9000$ by $- 100$ .

$p = - \frac{q}{100} + 90$