SOLUTION: Please help me solve this equation! 3x^2-14x-24

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Question 599059: Please help me solve this equation! 3x^2-14x-24
Answer by w_parminder(53) About Me  (Show Source):
You can put this solution on YOUR website!
3x^2-14x-24 is a polynomial
but
3x^2-14x-24=0 is an equation
comparing this with general quadratic equation ax^2+bx+c=0 we get
a=3, b=-14, c=-24
you can now solve it by using the formula but I prefer to use 'spliting the middle term' method
using this method, the given equation can be written as
3x%5E2-18x%2B4x-24=0
3x can be taken out as common from first two terms and 4 from the last two,so the equation becomes
3x%2A%28x-6%29%2B4%2A%28x-6%29=0
taking (x-6) common from the two terms,we get
(x-6)(3x+4)=0
Now either (x-6)=0, OR (3x+4)=0
solving these equations,
either x=6 OR x=-4/3

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