Basic Math Examples

$n = 3 n - \frac{1}{2}$

Step 1

Move all terms containing $n$ to the left side of the equation.

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Step 1.1

Subtract $3 n$ from both sides of the equation.

$n - 3 n = - \frac{1}{2}$

Step 1.2

Subtract $3 n$ from $n$ .

$- 2 n = - \frac{1}{2}$

Step 2

Divide each term in $- 2 n = - \frac{1}{2}$ by $- 2$ and simplify.

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Step 2.1

Divide each term in $- 2 n = - \frac{1}{2}$ by $- 2$ .

$\frac{- 2 n}{- 2} = \frac{- \frac{1}{2}}{- 2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 2 n}{- 2} = \frac{- \frac{1}{2}}{- 2}$

Step 2.2.1.2

Divide $n$ by $1$ .

$n = \frac{- \frac{1}{2}}{- 2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$n = - \frac{1}{2} \cdot \frac{1}{- 2}$

Step 2.3.2

Move the negative in front of the fraction.

$n = - \frac{1}{2} (- \frac{1}{2})$

Step 2.3.3

Multiply $- \frac{1}{2} (- \frac{1}{2})$ .

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Step 2.3.3.1

Multiply $- 1$ by $- 1$ .

$n = 1 (\frac{1}{2}) \frac{1}{2}$

Step 2.3.3.2

Multiply $\frac{1}{2}$ by $1$ .

$n = \frac{1}{2} \cdot \frac{1}{2}$

Step 2.3.3.3

Multiply $\frac{1}{2}$ by $\frac{1}{2}$ .

$n = \frac{1}{2 \cdot 2}$

Step 2.3.3.4

Multiply $2$ by $2$ .

$n = \frac{1}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$n = \frac{1}{4}$

Decimal Form:

$n = 0.25$