Adding rational expressions.

by Rabbit

  1. I am adding rational expressions, so I want to find a common denominator.
  2. Common denominator found, I want to multiple every rational expression by the LCD. Additionally, each rational expression should be re-written with its denominator in simplified/factored form so I can cancel out terms.
  3. I should have no more fractions. Now I want to combine like terms and generally solve as I would a linear equation. However, in the event this is a quadratic equation, or an equation to the power of 2, I want to mold the equation into a trinomial of standard form. Once done I will factor the trinomial into a pair of binomials. Once done I will take each binomial and set its value equal to zero. This is known as the multiplication property of zero. Doing this for both binomials should yield two answers for X. Check them.