Solve for S B=F/(S-V)

$B = \frac{F}{S - V}$

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.

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

$S - V, 1$

Remove parentheses.

$S - V, 1$

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.

Multiply each term in $\frac{F}{S - V} = B$ by $S - V$ .

$\frac{F}{S - V} (S - V) = B (S - V)$

Simplify the left side.

Cancel the common factor of $S - V$ .

Cancel the common factor.

$\frac{F}{S - V} (S - V) = B (S - V)$

Rewrite the expression.

$F = B (S - V)$

Simplify the right side.

Apply the distributive property.

$F = B S + B (- V)$

Rewrite using the commutative property of multiplication.

$F = B S - B V$

Step 4

Solve the equation.

Rewrite the equation as $B S - B V = F$ .

$B S - B V = F$

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

$B S = F + B V$

Divide each term in $B S = F + B V$ by $B$ and simplify.

Divide each term in $B S = F + B V$ by $B$ .

$\frac{B S}{B} = \frac{F}{B} + \frac{B V}{B}$

Simplify the left side.

Cancel the common factor of $B$ .

Cancel the common factor.

$\frac{B S}{B} = \frac{F}{B} + \frac{B V}{B}$

Divide $S$ by $1$ .

$S = \frac{F}{B} + \frac{B V}{B}$

Simplify the right side.

Cancel the common factor of $B$ .

Cancel the common factor.

$S = \frac{F}{B} + \frac{B V}{B}$

Divide $V$ by $1$ .

$S = \frac{F}{B} + V$

Solve for S B=F/(S-V)

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