SOLUTION: Solve for x. Specify restrictions, if any, on the value of x: 3x+8/x=-14. I don't even understand about restrictions???? Please help me solve and find restrictions.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve for x. Specify restrictions, if any, on the value of x: 3x+8/x=-14. I don't even understand about restrictions???? Please help me solve and find restrictions.      Log On


   

Question 106200: Solve for x. Specify restrictions, if any, on the value of x: 3x+8/x=-14.
I don't even understand about restrictions???? Please help me solve and find restrictions.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Restrictions means are there any values of x that would cause a problem.
In this case, if x=0, there is a division by zero which is not allowed in mathematics.
%283x%2B8%29%2Fx=-14
3x%2B8=-14x Multiply both sides by x.
8=-14x-3x subtraact 3x from both sides.
8=-17x
%28-8%29%2F17=x Divide both sides by (-17)
highlight%28x=%28-8%29%2F17%29 Final answer.
Always check your answer.
%283x%2B8%29%2Fx=-14
%283%28-8%2F17%29%2B8%29%2F%28-8%2F17%29=-14 Substitute.
%28-24%2F17%2B136%2F17%29%2F%28-8%2F17%29=-14 Find same denominator to add fractions.
%28-24%2B136%29%2F%28-8%29=-14 Multiply numerator and denominator by 17 to simplify.
112%2F%28-8%29=-14
-14=-14
Good answer.