SOLUTION: {{{4x^3-54x^2+180x-125=0}}}

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Question 151279: 4x%5E3-54x%5E2%2B180x-125=0

Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E3-54x%5E2%2B180x-125=0

Group terms
%284x%5E3-54x%5E2%29%2B%28180x-125%29=0

Factor
2x%5E2%282x-27%29%2B5%2836x-25%29=0

Set each expression equal to 0
2x^2=0
x^2=0
x=0

2x-27=0
2x=27
x=27/2

36x-25=0
36x=25
x=25/36

Answer:
x=0 or 27/2 and 25/36