SOLUTION: Hi, I am stuck on this problem and need help... Solve q+5/q = -6 Thanks!

Question 206050: Hi, I am stuck on this problem and need help...

Solve
q+5/q = -6
Thanks!
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve
q+5/q = -6
-----------
There are two ways to interpret your problem.
It could be q + (5/q) = -6
or it could be
(q+5)/q = -6
===================
Use parentheses so others can tell which problem
you are dealing with.
Cheers,
Stan H.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Is the equation ???

Start with the given equation.

Multiply both sides by 'q'.

Subtract from both sides.

Add to both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

----------------------------------------------------------------------

Answer:

So the solution is which approximates to .

OR...Is the equation ???

Start with the given equation.

Multiply EVERY term by the LCD 'q' to clear out the fractions.

Add 6q to both sides.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "q":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solutions are or

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