SOLUTION: I need help solving this equation! {{{ 4x^2(x-1)^(1/3) + 6x(x-1)^(4/3) = 0 }}} Please show me how to solve this step by step!

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Question 298710: I need help solving this equation!

Please show me how to solve this step by step!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
I need help solving this equation!
4x^2(x-1)^(1/3) + 6x(x-1)^(4/3) = 0
---
Factor:
2x(x-1)^(1/3)[2x + 3(x-1)] = 0
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Simplify:
2x(x-1)^(1/3)[5x-3] = 0
x = 0 or (x-1)^(1/3) = 0 or (5x-3) = 0
---
x = 0 or x = 1 or x = 3/5
================================
Cheers,
Stan H.

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