SOLUTION: 5x^3+30x^2-15x

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Question 852178: 5x^3+30x^2-15x
Found 2 solutions by Fombitz, josh_jordan:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!


Answer by josh_jordan(263)   (Show Source): You can put this solution on YOUR website!
In order to solve for x, the first thing you want to do is set this expression equal to 0:



Next, since each of these terms have 5x in common, we can factor 5x out of the equation, giving us:



Setting each of these terms equal to 0, gives us:

and

With 5x = 0, we can quickly see that x = 0, so, we know that one of the values of x is 0.

Now, in order to find the other two values of x, we need to use the quadratic formula on our second term, x^2 + 6x - 3 = 0:

----->

----->

----->

----->



Now, we can factor a 2 out of the numerator, since 2 is a factor of both -6 and +- 4:

----->



We now have our 3 values of x: 0,,

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