SOLUTION: solve 3x^3y^2-45x^2y=15x^3y-9x^2y^2 for x and y

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Question 1205914: solve 3x^3y^2-45x^2y=15x^3y-9x^2y^2 for x and y
Found 3 solutions by MathLover1, greenestamps, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

.....factor










solutions:
if => (periodicity ),
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answer:





Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!




Move everything to one side with the other side zero.



Factor the common factor out of all the terms.



Group the terms in the second factor and look for a common factor.





Use the basic idea that the product is zero only if at least one of the factors is zero:

ANSWERS: x=0; y=0; x=-3; y=5
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

In order for you better understand the answer, I will give an expanded answer. 

    There are four infinite sets of solutions:

          (a)  {x= 0;  y is any real number};

          (b)  {x= -3; y is any real number};

          (c)  {y= 0;  x is any real number};

          (d)  {y= 5;  x is any real number}.



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