SOLUTION: Trying to solve this equation: (X+2)(12/x -1)=12 Have tried many options without success. Thanks

Question 118777: Trying to solve this equation:
(X+2)(12/x -1)=12
Have tried many options without success.
Thanks
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Foil

Simplify

Multiply both sides by the LCD x to eliminate every fraction.

Distribute and multiply

Subtract 12x from both sides

Combine like terms

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=-1, b=-2, and c=24

Negate -2 to get 2

Square -2 to get 4 (note: remember when you square -2, you must square the negative as well. This is because .)

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and -1 to get -2

So now the expression breaks down into two parts

or

Lets look at the first part:

Add the terms in the numerator
Divide

So one answer is

Now lets look at the second part:

Subtract the terms in the numerator
Divide

So another answer is

So our solutions are:
or

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