Trigonometry Examples

$r (p - x) = r + r + r$

Step 1

Simplify.

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Step 1.1

Add $r$ and $r$ .

$r (p - x) = 2 r + r$

Step 1.2

Add $2 r$ and $r$ .

$r (p - x) = 3 r$

Step 2

Divide each term in $r (p - x) = 3 r$ by $r$ and simplify.

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Step 2.1

Divide each term in $r (p - x) = 3 r$ by $r$ .

$\frac{r (p - x)}{r} = \frac{3 r}{r}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $r$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{r (p - x)}{r} = \frac{3 r}{r}$

Step 2.2.1.2

Divide $p - x$ by $1$ .

$p - x = \frac{3 r}{r}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $r$ .

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Step 2.3.1.1

Cancel the common factor.

$p - x = \frac{3 r}{r}$

Step 2.3.1.2

Divide $3$ by $1$ .

$p - x = 3$

Step 3

Subtract $p$ from both sides of the equation.

$- x = 3 - p$

Step 4

Divide each term in $- x = 3 - p$ by $- 1$ and simplify.

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Step 4.1

Divide each term in $- x = 3 - p$ by $- 1$ .

$\frac{- x}{- 1} = \frac{3}{- 1} + \frac{- p}{- 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{3}{- 1} + \frac{- p}{- 1}$

Step 4.2.2

Divide $x$ by $1$ .

$x = \frac{3}{- 1} + \frac{- p}{- 1}$

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

Divide $3$ by $- 1$ .

$x = - 3 + \frac{- p}{- 1}$

Step 4.3.1.2

Dividing two negative values results in a positive value.

$x = - 3 + \frac{p}{1}$

Step 4.3.1.3

Divide $p$ by $1$ .

$x = - 3 + p$