SOLUTION: solve 2x^3-10x^2=0 show work

Question 41913: solve
2x^3-10x^2=0
show work
Found 2 solutions by tutorcecilia, fractalier:
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
Factor the polynomial:
(2x^2)(x-5)=0
Set each factor equal to zero and solve for x:
2x^2=0
.
2x^2/2=0/2
x^2=0
sqrt(x^2)=sqrt(0)
x=0
.
(x-5)=0
x=5
.
Possible solution set for x = {0, 5}
Check by plugging each value back into the original problem:
2x^3-10x^2=0
2(0)^3-10(0)^2=0
0 = 0
.
2x^3-10x^2=0
2(5)^3-10(5)^2=0
250 - 250 = 0
0 = 0
Each solution checks out!

Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
2x^3 - 10x^2 = 0
factor out 2x^2 and get
2x^2(x - 5) = 0
Therefore x = 0 and x = 5
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