Trigonometry Examples

$c (200) = 4 n - 2$

Step 1

Divide each term in $c (200) = 4 n - 2$ by $200$ .

$\frac{c \cdot 200}{200} = \frac{4 n}{200} + \frac{- 2}{200}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $200$ .

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Step 2.1.1

Cancel the common factor.

$\frac{c \cdot 200}{200} = \frac{4 n}{200} + \frac{- 2}{200}$

Step 2.1.2

Divide $c$ by $1$ .

$c = \frac{4 n}{200} + \frac{- 2}{200}$

Step 3

Simplify the right side.

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Step 3.1

Simplify each term.

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Step 3.1.1

Cancel the common factor of $4$ and $200$ .

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Step 3.1.1.1

Factor $4$ out of $4 n$ .

$c = \frac{4 (n)}{200} + \frac{- 2}{200}$

Step 3.1.1.2

Cancel the common factors.

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Step 3.1.1.2.1

Factor $4$ out of $200$ .

$c = \frac{4 n}{4 \cdot 50} + \frac{- 2}{200}$

Step 3.1.1.2.2

Cancel the common factor.

$c = \frac{4 n}{4 \cdot 50} + \frac{- 2}{200}$

Step 3.1.1.2.3

Rewrite the expression.

$c = \frac{n}{50} + \frac{- 2}{200}$

Step 3.1.2

Cancel the common factor of $- 2$ and $200$ .

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Step 3.1.2.1

Factor $2$ out of $- 2$ .

$c = \frac{n}{50} + \frac{2 (- 1)}{200}$

Step 3.1.2.2

Cancel the common factors.

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Step 3.1.2.2.1

Factor $2$ out of $200$ .

$c = \frac{n}{50} + \frac{2 \cdot - 1}{2 \cdot 100}$

Step 3.1.2.2.2

Cancel the common factor.

$c = \frac{n}{50} + \frac{2 \cdot - 1}{2 \cdot 100}$

Step 3.1.2.2.3

Rewrite the expression.

$c = \frac{n}{50} + \frac{- 1}{100}$

Step 3.1.3

Move the negative in front of the fraction.

$c = \frac{n}{50} - \frac{1}{100}$