Explanation:
Your question does not give what you need explanation on, but I will try to help to the best of my ability with information given.
Find all values of x:
4x^3 + 28x^2 + 40x
I am going to factor out the highest common number.
4(x^3 + 7x^2 + 10x) = 0
now I am going to factor out the highest common variable possible.
4x(x^2 + 7x + 10) = 0
now I am going to find what x is in the parentheses.
x^2 + 7x + 10 = 0
now what number times another equals 10? well that would 5*2 = 10 or 10*1 = 10
now out of these two sets of numbers which plus or minus itself will equal 7?
5+2 = 7
so therefore, are number are 5 and 2
now we will separate the equation to get:
(x+5)*(x+2)
now checking this we can see we get our equation again:
x*x + 5*x + 2*x + 5*2 => x^2 + 7x + 10
there for (x+5)*(x+2) is correct.
now lets solve for x:
x + 5 = 0
x = -5
x + 2 = 0
x = -2
4x = 0
x = 0/4
x = 0
Therefore, x equals:
x = -5, -2, 0
This is the answer.
I hope this helps! Like I said previously not all information was given, so I hope that this is the answer you were looking for.
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