SOLUTION: Please provide all steps on how to get the solutions, which are : X=0, 4, -4 3x^5=48x^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please provide all steps on how to get the solutions, which are : X=0, 4, -4 3x^5=48x^3      Log On


   

Question 988302: Please provide all steps on how to get the solutions, which are : X=0, 4, -4
3x^5=48x^3
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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3x%5E5=48x%5E3 Subtract 48x^3 from each side.
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3x%5E5-48x%5E3=0 Factor
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%283x%5E3%29%28x%5E2-16%29=0
%283x%5E3%29%28x-4%29%28x%2B4%29=0
3x%5E3=0 OR x-4=0 OR x%2B4=0
x%5E3=0 OR x=4 OR x=-4
root+%283%2Cx%5E3%29=root%283%2C0%29 OR x=4 OR x=-4
x=0 OR x=4 OR x=-4
ANSWER: x=-4,0,4