SOLUTION: please help me with this problem. im getting confused. and i really need ur help. solve x-4 4 29 ---- + ---- = ---- x+1 x 30 please show the work so

Question 173382: please help me with this problem. im getting confused. and i really need ur help.
solve
x-4 4 29
---- + ---- = ----
x+1 x 30

please show the work so i can understand it. thank you !!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Multiply every term on both sides by the LCD . Doing this will eliminate all of the fractions.

Simplify.

Multiply.

Distribute.

Start with the given equation.

Subtract from both sides. Subtract 29x from both sides.

Combine like terms.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

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 answers are or

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