Bx-cx=-c Equation help?

Question

Solve the equation. Find any restrictions

bx-cx=-c

How would I work this?

Answer 1

i am guessing you mean to solve in terms of x:

bx-cx=-c

factor out a common factor of x:

x(b-c)=-c

divide through by (b-c)

x=-c/(b-c) or x=c/(c-b)

this is a meaningful result as long as c does not equal b;when c=b the denom goes to zero and you have  an undefined result

Answer 2

There's nothing to solve.

You have 3 unknowns and one equation.  The best you can do is to set things up in terms of the other variables.

bx - cx = -c

bx = cx - c

b = (cx - c) / x

or

bx - cx = -c

x(b - c) = -c

x = -c / (b - c)

x = c / (c - b)

or

bx - cx = -c

bx = cx - c

bx = c(x - 1)

c = bx / (x - 1)

That's about all you can do with it.