SOLUTION: Find all x- intercept: f(x)=24x^3-14x-20x Please show me step by step to get the answer. Thanks

Question 463988: Find all x- intercept:
f(x)=24x^3-14x-20x
Please show me step by step to get the answer. Thanks
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find all x- intercept:
f(x)=24x^3-14x-20x
I will assume you meant 14x to be 14x^2 because equations are not usually written as given
...
f(x)=24x^3-14x^2-20x
set f(x)=0
24x^3-14x^2-20x=0
simplify by dividing by 2
12x^3-7x^2-10x=0
factor out x
x(12x^2-7x-10)=0
x=0
(12x^2-7x-10)=0
Use quadratic formula to solve (12x^2-7x-10)=0
..

..
a=12, b=-7, c=-10
x=[-(-7)�sqrt((-7)^2-4*12*(-10))]/2*12
x=[7�sqrt(49+480)]/24
x=[7�23]/24
x=30/24=5/4
or
x=-16/24=-2/3
x-intercepts: (0,5/4,-2/3)
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