Question

A=B+Bcd for c Solve the formula C=

Answer 1

A= B + Bcd

A-B= B - B +Bcd

A-B = Bcd

A-B/B = Bcd/B

A-1=cd/d


A-1/d =c


c=A-1/d

Answer 2

Answer

Given that: $A = B+Bcd$

The distributive property says that:

$a \cdot(b+c) = a\cdot b+ a\cdot c$

Then;

Apply distributive property to the given equation:

$A = B(1+cd)$

Divide both sides by B we get;

$\frac{A}{B} = 1+cd$

Subtract 1 from both sides we get;

$\frac{A}{B}-1 = cd$

Simplify:

$\frac{A-B}{B} = cd$

Divide both sides by d we get;

$\frac{A-B}{Bd} = c$

Therefore, the formula for c is :

$c=\frac{A-B}{Bd}$