SOLUTION: 24x^4+72x^3-54x^2-162x=0

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Question 619228: 24x^4+72x^3-54x^2-162x=0
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
24x^4 + 72x^3 - 54x^2 - 162x = 0
Group factor
24x^3(x + 3) - 54x(x + 3) = 0
Factor out (x+3)
(x + 3) (24x^3 - 54x) = 0
Therefore
x = -3
and
24x^3 - 54x = 0
factor out 6x
6x(4x^2 - 9) = 0
Three more solutions
x = 0
and
4x^2 = 9
x^2 = 9%2F4
x = +/- 3/2,
x = 1.5
x = -1.5
:
Four roots, -3, -1.5, 0, 1.5