Basic Math Examples

$B = \frac{F}{s - v}$

Step 1

Rewrite the equation as $\frac{F}{s - v} = B$ .

$\frac{F}{s - v} = B$

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.

$s - v, 1$

Step 2.2

Remove parentheses.

$s - v, 1$

Step 2.3

The LCM of one and any expression is the expression.

$s - v$

Step 3

Multiply each term in $\frac{F}{s - v} = B$ by $s - v$ to eliminate the fractions.

Tap for more steps...

Step 3.1

Multiply each term in $\frac{F}{s - v} = B$ by $s - v$ .

$\frac{F}{s - v} (s - v) = B (s - v)$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $s - v$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{F}{s - v} (s - v) = B (s - v)$

Step 3.2.1.2

Rewrite the expression.

$F = B (s - v)$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Apply the distributive property.

$F = B s + B (- v)$

Step 3.3.2

Rewrite using the commutative property of multiplication.

$F = B s - B v$

Step 4

Solve the equation.

Tap for more steps...

Step 4.1

Rewrite the equation as $B s - B v = F$ .

$B s - B v = F$

Step 4.2

Add $B v$ to both sides of the equation.

$B s = F + B v$

Step 4.3

Divide each term in $B s = F + B v$ by $B$ and simplify.

Tap for more steps...

Step 4.3.1

Divide each term in $B s = F + B v$ by $B$ .

$\frac{B s}{B} = \frac{F}{B} + \frac{B v}{B}$

Step 4.3.2

Simplify the left side.

Tap for more steps...

Step 4.3.2.1

Cancel the common factor of $B$ .

Tap for more steps...

Step 4.3.2.1.1

Cancel the common factor.

$\frac{B s}{B} = \frac{F}{B} + \frac{B v}{B}$

Step 4.3.2.1.2

Divide $s$ by $1$ .

$s = \frac{F}{B} + \frac{B v}{B}$

Step 4.3.3

Simplify the right side.

Tap for more steps...

Step 4.3.3.1

Cancel the common factor of $B$ .

Tap for more steps...

Step 4.3.3.1.1

Cancel the common factor.

$s = \frac{F}{B} + \frac{B v}{B}$

Step 4.3.3.1.2

Divide $v$ by $1$ .

$s = \frac{F}{B} + v$