Trigonometry Examples

$p = 99 - 0.05 (x - 1000)$

Step 1

Rewrite the equation as $99 - 0.05 (x - 1000) = p$ .

$99 - 0.05 (x - 1000) = p$

Step 2

Simplify $99 - 0.05 (x - 1000)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$99 - 0.05 x - 0.05 \cdot - 1000 = p$

Step 2.1.2

Multiply $- 0.05$ by $- 1000$ .

$99 - 0.05 x + 50 = p$

Step 2.2

Add $99$ and $50$ .

$- 0.05 x + 149 = p$

Step 3

Subtract $149$ from both sides of the equation.

$- 0.05 x = p - 149$

Step 4

Divide each term in $- 0.05 x = p - 149$ by $- 0.05$ and simplify.

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Step 4.1

Divide each term in $- 0.05 x = p - 149$ by $- 0.05$ .

$\frac{- 0.05 x}{- 0.05} = \frac{p}{- 0.05} + \frac{- 149}{- 0.05}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 0.05$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 0.05 x}{- 0.05} = \frac{p}{- 0.05} + \frac{- 149}{- 0.05}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{p}{- 0.05} + \frac{- 149}{- 0.05}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Simplify each term.

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Step 4.3.1.1

Move the negative in front of the fraction.

$x = - \frac{p}{0.05} + \frac{- 149}{- 0.05}$

Step 4.3.1.2

Multiply by $1$ .

$x = - \frac{1 p}{0.05} + \frac{- 149}{- 0.05}$

Step 4.3.1.3

Factor $0.05$ out of $0.05$ .

$x = - \frac{1 p}{0.05 (1)} + \frac{- 149}{- 0.05}$

Step 4.3.1.4

Separate fractions.

$x = - (\frac{1}{0.05} \cdot \frac{p}{1}) + \frac{- 149}{- 0.05}$

Step 4.3.1.5

Divide $1$ by $0.05$ .

$x = - (20 \frac{p}{1}) + \frac{- 149}{- 0.05}$

Step 4.3.1.6

Divide $p$ by $1$ .

$x = - (20 p) + \frac{- 149}{- 0.05}$

Step 4.3.1.7

Multiply $20$ by $- 1$ .

$x = - 20 p + \frac{- 149}{- 0.05}$

Step 4.3.1.8

Divide $- 149$ by $- 0.05$ .

$x = - 20 p + 2980$