### Concept (1)

Solving rational equations is substantially easier with like denominators. When solving rational equations, first multiply every term in the equation by the common denominator so the equation is "cleared" of fractions. Next, use an appropriate technique for solving for the variable.

### Sample Problems (6)

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Solve:

 3 − 1 = 2 x + 2 x − 2 x² − 4
###### Problem 1
How to solve a rational equation by multiplying by the least common denominator.

Solve:

 2 = 1 − 6x 3x + 1 x 3x + 1
###### Problem 2
How to solve a rational equation involving opposite denominators with an extraneous solution.
###### Problem 3
Solving rational equations that have irrational solutions that can be found using the quadratic formula.
###### Problem 4
Canceling the denominator as a means of solving rational equations.
###### Problem 5
Turning sums and differences into proportions to enable cross multiplication.
###### Problem 6
Solving rational equations using cross multiplication, checking for extraneous solutions