Solve for B D=ABC for B

$D = A B C$ for $B$

Step 1

Rewrite the equation as $A B C = D$ .

$A B C = D$

Step 2

Divide each term in $A B C = D$ by $A C$ and simplify.

Divide each term in $A B C = D$ by $A C$ .

$\frac{A B C}{A C} = \frac{D}{A C}$

Simplify the left side.

Cancel the common factor of $A$ .

Cancel the common factor.

$\frac{A B C}{A C} = \frac{D}{A C}$

Rewrite the expression.

$\frac{B C}{C} = \frac{D}{A C}$

Cancel the common factor of $C$ .

Cancel the common factor.

$\frac{B C}{C} = \frac{D}{A C}$

Divide $B$ by $1$ .

$B = \frac{D}{A C}$