Solving equations where the DENOMINATOR has an algebraic term

To solve an equation such as: We multiply by .
This has the effect of cancelling the on the left hand side whilst introducing it
at the top on the other side. So we get: Or |
Suppose instead our equation is: Multiply by Or |

Solve: Imagine this as: So, Expand, Rewrite, |
Solve: Expand, So, Expand again Rewrite, |

__What if there are more terms to deal with in the
equation?__

Example 1: Solve: |
Example 3: Solve: This is the same as: Make all terms have the same denominator, this requires some
thought The lowest common multiple of So the lowest common multiple of So the equation becomes: Or, Rewrite, |

Example 2: Write as: Look for lowest common multiple of all the denominators, which
is 4, and convert each of the
denominators to 4 Cancel the denominator: |