Basic Math Examples

$b = \frac{c}{1 - v}$

Step 1

Rewrite the equation as $\frac{c}{1 - v} = b$ .

$\frac{c}{1 - v} = b$

Step 2

Find the LCD of the terms in the equation.

Tap for more steps...

Step 2.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$1 - v, 1$

Step 2.2

Remove parentheses.

$1 - v, 1$

Step 2.3

The LCM of one and any expression is the expression.

$1 - v$

Step 3

Multiply each term in $\frac{c}{1 - v} = b$ by $1 - v$ to eliminate the fractions.

Tap for more steps...

Step 3.1

Multiply each term in $\frac{c}{1 - v} = b$ by $1 - v$ .

$\frac{c}{1 - v} (1 - v) = b (1 - v)$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $1 - v$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{c}{1 - v} (1 - v) = b (1 - v)$

Step 3.2.1.2

Rewrite the expression.

$c = b (1 - v)$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Apply the distributive property.

$c = b \cdot 1 + b (- v)$

Step 3.3.2

Simplify the expression.

Tap for more steps...

Step 3.3.2.1

Multiply $b$ by $1$ .

$c = b + b (- v)$

Step 3.3.2.2

Rewrite using the commutative property of multiplication.

$c = b - b v$

Step 4

Solve the equation.

Tap for more steps...

Step 4.1

Rewrite the equation as $b - b v = c$ .

$b - b v = c$

Step 4.2

Subtract $b$ from both sides of the equation.

$- b v = c - b$

Step 4.3

Divide each term in $- b v = c - b$ by $- b$ and simplify.

Tap for more steps...

Step 4.3.1

Divide each term in $- b v = c - b$ by $- b$ .

$\frac{- b v}{- b} = \frac{c}{- b} + \frac{- b}{- b}$

Step 4.3.2

Simplify the left side.

Tap for more steps...

Step 4.3.2.1

Dividing two negative values results in a positive value.

$\frac{b v}{b} = \frac{c}{- b} + \frac{- b}{- b}$

Step 4.3.2.2

Cancel the common factor of $b$ .

Tap for more steps...

Step 4.3.2.2.1

Cancel the common factor.

$\frac{b v}{b} = \frac{c}{- b} + \frac{- b}{- b}$

Step 4.3.2.2.2

Divide $v$ by $1$ .

$v = \frac{c}{- b} + \frac{- b}{- b}$

Step 4.3.3

Simplify the right side.

Tap for more steps...

Step 4.3.3.1

Simplify each term.

Tap for more steps...

Step 4.3.3.1.1

Move the negative in front of the fraction.

$v = - \frac{c}{b} + \frac{- b}{- b}$

Step 4.3.3.1.2

Dividing two negative values results in a positive value.

$v = - \frac{c}{b} + \frac{b}{b}$

Step 4.3.3.1.3

Cancel the common factor of $b$ .

Tap for more steps...

Step 4.3.3.1.3.1

Cancel the common factor.

$v = - \frac{c}{b} + \frac{b}{b}$

Step 4.3.3.1.3.2

Rewrite the expression.

$v = - \frac{c}{b} + 1$