SOLUTION: solve the following equation: x(to the 3rd power) + 5x(to the 2nd power)=6x

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Question 235900: solve the following equation:
x(to the 3rd power) + 5x(to the 2nd power)=6x
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
x%5E3%2B5x%5E2+=+6x Subtract 6x from both sides.
x%5E3%2B5x%5E2-6x+=+0 Factor an x from the left side.
x%28x%5E2%2B5x-6%29+=+0 Factor the trinomial in parentheses.
x%28x-1%29%28x%2B6%29+=+0 Apply the zero product rule.
x+=+0 or x-1+=+0 or x%2B6+=+0
highlight%28x+=+0%29
highlight%28x+=+1%29
highlight%28x+=+-6%29