Basic Math Examples

$u = k (1 + n t)$

Step 1

Rewrite the equation as $k (1 + n t) = u$ .

$k (1 + n t) = u$

Step 2

Divide each term in $k (1 + n t) = u$ by $k$ and simplify.

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Step 2.1

Divide each term in $k (1 + n t) = u$ by $k$ .

$\frac{k (1 + n t)}{k} = \frac{u}{k}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $k$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{k (1 + n t)}{k} = \frac{u}{k}$

Step 2.2.1.2

Divide $1 + n t$ by $1$ .

$1 + n t = \frac{u}{k}$

Step 3

Subtract $1$ from both sides of the equation.

$n t = \frac{u}{k} - 1$

Step 4

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

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Step 4.1

Divide each term in $n t = \frac{u}{k} - 1$ by $n$ .

$\frac{n t}{n} = \frac{\frac{u}{k}}{n} + \frac{- 1}{n}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $n$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{n t}{n} = \frac{\frac{u}{k}}{n} + \frac{- 1}{n}$

Step 4.2.1.2

Divide $t$ by $1$ .

$t = \frac{\frac{u}{k}}{n} + \frac{- 1}{n}$

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

Multiply the numerator by the reciprocal of the denominator.

$t = \frac{u}{k} \cdot \frac{1}{n} + \frac{- 1}{n}$

Step 4.3.1.2

Multiply $\frac{u}{k}$ by $\frac{1}{n}$ .

$t = \frac{u}{k n} + \frac{- 1}{n}$

Step 4.3.1.3

Move the negative in front of the fraction.

$t = \frac{u}{k n} - \frac{1}{n}$