document.write( "Question 298710: I need help solving this equation!\r
\n" ); document.write( "\n" ); document.write( "\"+4x%5E2%28x-1%29%5E%281%2F3%29+%2B+6x%28x-1%29%5E%284%2F3%29+=+0+\"\r
\n" ); document.write( "\n" ); document.write( "Please show me how to solve this step by step!
\n" ); document.write( "

Algebra.Com's Answer #214794 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
I need help solving this equation!\r
\n" ); document.write( "\n" ); document.write( " 4x^2(x-1)^(1/3) + 6x(x-1)^(4/3) = 0
\n" ); document.write( "---
\n" ); document.write( "Factor:
\n" ); document.write( "2x(x-1)^(1/3)[2x + 3(x-1)] = 0
\n" ); document.write( "---
\n" ); document.write( "Simplify:
\n" ); document.write( "2x(x-1)^(1/3)[5x-3] = 0
\n" ); document.write( "x = 0 or (x-1)^(1/3) = 0 or (5x-3) = 0
\n" ); document.write( "---
\n" ); document.write( "x = 0 or x = 1 or x = 3/5
\n" ); document.write( "================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );