SOLUTION: Please help! I have to solve by factoring. Not sure how to get the answer to these: x^3 -10x + 25x = 0 and 2x^3 -8x = 0 Thanks for the help

Algebra ->  Rational-functions -> SOLUTION: Please help! I have to solve by factoring. Not sure how to get the answer to these: x^3 -10x + 25x = 0 and 2x^3 -8x = 0 Thanks for the help       Log On


   

Question 529620: Please help!
I have to solve by factoring. Not sure how to get the answer to these:
x^3 -10x + 25x = 0
and
2x^3 -8x = 0
Thanks for the help
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E3+-10x%5E2+%2B+25x+=+0++
+x%2A%28x%5E2+-+10x+%2B+25%29+=+0+
Either of these 2 factors must be 0, so
+x+=+0+ is a solution and
+x%5E2+-+10x+%2B+25+=+0+
This is a perfect square
+%28+x+%2B+5+%29%5E2+=+0+
+x+=+-5+ is also a solution
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+2x%5E3+-+8x+=+0+
+2x%2A%28+x%5E2+-+8+%29+=+0+
+x+=+0+ is a solution
also
+x%5E2+-+8+=+0+
+x+=+sqrt%288%29+
+x+=+2%2Asqrt%282%29+ and
+x+=+-2%2Asqrt%282%29+
are both solutions