SOLUTION: Can someone assist me in completing the factoring 36x^6=3x^4

Algebra ->  Equations -> SOLUTION: Can someone assist me in completing the factoring 36x^6=3x^4      Log On


   

Question 190878: Can someone assist me in completing the factoring
36x^6=3x^4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
36x%5E6=3x%5E4 Start with the given equation


36x%5E6-3x%5E4=0 Subtract 3x%5E4 from both sides


3x%5E4%2812x%5E2-1%29=0 Factor out the GCF 3x%5E4


3x%5E4=0 or 12x%5E2-1=0 Set each factor equal to zero.


From here, simply solve the two equations 3x%5E4=0 and 12x%5E2-1=0 to find the 6 solutions. Note: you'll find that some solutions repeat themselves.