SOLUTION: I need help solving this equation. I'm not even sure where to start. x(((x^2)-(3x))^1/3)+2(((x^2)-(3x))^4/3)=0

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Question 438461: I need help solving this equation. I'm not even sure where to start.
x(((x^2)-(3x))^1/3)+2(((x^2)-(3x))^4/3)=0
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
x%28x%5E2-3x%29%5E%281%2F3%29=-2%28x%5E2-3x%29%5E%284%2F3%29,raise to the third power both sides:
x%5E3%28x%5E2-3x%29=-8%28x%5E2-3x%29%5E4, assume x no zero and x no 3, divide by
x%5E2-3x both sides of equation:x%5E3=-8%28x%5E2-3x%29%5E3, taking the cube roots
for both sides we get:x=-2%28x%5E2-3x%29 or 2x%5E2%2B7x=0 or x%282x%2B7%29=0
The roots of final equation are: x=0 which must rejected and x=-7/2.
Answer: The solution is {-7/2}.