Algebra II
posted by Monique on .
When asked to solve the rational equation 11/2x^2+x15=5/2x5x/x+3
a student multiplied both sides of the equation by the expression (2x2+x−15)(2x−5)(x+3).
Was this the best thing for the student to do? If not, what should the student have done?

no, since 2x^2+x15 = (2x5)(x+3)
Just multiply both sides by (2x5)(x+3)
The thing to watch out for is to be sure to note that 5/2 and 3 must be excluded from the domain.