SOLUTION: How do I solve this following problem for P? P

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Question 240675: How do I solve this following problem for P?
P - (PD) = N
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
p - (pd) = n

this is equivalent to:

p - (p*d) = n

factor out the p to get:

p*(1-d) = n

divide both sides by (1-d) to get:

p = n/(1-d)

go back to your original equation and replace p with n/(1-d) and you should get an identity equation.

your equation is:

p - pd = n

substitute n/(1-d) for p to get:

n/(1-d) - (n/(1-d)*d = n

multiply both sides of the equation by (n-d) to get:

n - n*d = n*(1-d)

remove parentheses to get:

n - n*d = n - n*d

that's your identity equation so the value you calculated for p is good.

another way to check is the let n = any number and d equal any number and solve for p.

let n = 2 and d = 3

p = n/(1-d) becomes p = 2/(-2) = -1

substitute for p = -1 and n = 2 and d = 3 in your original equation.

p - (pd) = n becomes:

-1 - (-1*3) = 2 which becomes -1 - (-3) = 2 which becomes -1 + 3 = 2 which becomes 2 = 2 which is true so the value for p is good.

SOLUTION: How do I solve this following problem for P? P - (PD) = N