SOLUTION: {{{ (4a-3)= (a+33)/(a+1) }}} Please help with this rational expression. I have gotten this far..4a-3 multiplied by a+1/a+33= 4a^2+3/a+33

Question 307388:
Please help with this rational expression. I have gotten this far..4a-3 multiplied by a+1/a+33= 4a^2+3/a+33
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Multiply both sides by .

FOIL

Get every term to the left side.

Combine like terms.

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

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

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to 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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