Solve the equation x(x-2)(x+3)=0?

2009-07-20 5:32 pm
The answer is x=0, 2, -3 but my work is wrong :-(

回答 (12)

2009-07-20 5:36 pm
✔ 最佳答案
If it were any easier, it wouldn't be an allowable equation !

Show your work if you want to understand your mistake(s) !

You have to help !
2009-07-20 5:37 pm
There isnt much work. If you plug in 0 the whole thing is zero, if you plug in 2, the whole value is also 0, etc.
參考: skoodu.com
2016-10-29 11:17 am
you're able to separate THE NUMBERS FROm the x`s . 2 squared =4 .ie 2x2=4 ok , to get the numbers on one area and x ,on the different first get rid of the +3 from the two factors. So, 2 sqared (or 4)+5x=-3. next.. now you're able to get the +4 onto the different area with the help of taking it far flung from the two factors. So +5x =-3 get rid of -4 , So +5x= -7 to confirm what one x = you're able to divide the -7 with the help of 5x , to offer what one x equals. -7/5 = a million.4 So x=a million.4. ok thats quantity a million performed
2009-07-20 6:14 pm
x(x - 2)(x + 3) = 0

x = 0

x - 2 = 0
x = 2

x + 3 = 0
x = -3

∴ x = -3, 0, 2
2009-07-20 5:47 pm
that is the correct answer.
you KNOW that in order for the product of a multiplication problem to be zero, one of the factors must be zero.
(x); (x-2); and (x+3) are all factors of the problem.
One of them must equal zero.
therefore x must be 0,-2, or -3.
2009-07-20 5:41 pm
x(x-2)(x+2)=0

When you multiply terms together to get 0, that means one of these terms must equal 0.

There are three terms, so three possibilities

x=0

OR

(x-2)=0
x=2

OR

(x+3)=0
x=-3
2009-07-20 5:40 pm
x(x-2)(x+3)=0

x = 0
x - 2 = 0 ---> x = 2
x + 3 = 0 ---> x = -3
2009-07-20 5:37 pm
What do you mean by "my work is wrong"?

This product is equal to 0 if any of the factors are equal to 0. So the solutions are
x = 0
or
x -2 = 0
or
x + 3 = 0

Solving those three equations separately gives x = 0 or x = 2 or x = -3.
2009-07-20 5:36 pm
Just look at all these separately. First take x, and set that equal to zero:
x = 0 <===Answer#1

Now take x-2 and set it equal to zero:
x-2 = 0
x = 2 <===Answer#2

And finally look at x+3=0:
x+3=0
x = -3 <===Answer #3
2009-07-20 5:36 pm
x*(x-2)*(x+3) = 0

So this means than 1 of the following is equal to zero, x , x-2, x+3

so x = 0
x+3 = 0 therefore x = - 3
x-2 = 0 therefore x = 2
2009-07-20 5:53 pm
Since the equation is three multiplied terms, if any one of them is zero the equation equals zero. What makes it zero?

If x is zero then the equation is (0)(-2)(3) = 0.
If X=2 then (2)(0)(5) = 0
If X is -3, then (-3)(-5)(0) = 0

The problem is solved by what is called inspection.

When is X = 0? Obvious.
When is (X-2) = 0? Only if X = 2.
When is (X+3) = 0? Only if X = -3

I have a doctorate in Chemistry. I remember that learning about negative numbers in algebra was like fireworks going off. Algebra is really fun. That was the point that turned me into a fledgling scientist.

I hope you catch on to it. Good luck.


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