0 times anything is zero so you have to get each quantity to be zero so:
(x - 7)=0 &
(x - 5)=0
or
x - 7=0 &
x - 5=0
from there you just solve for x which gives you:
x = 5 and x = 7
here is how you can check your answer:
for x = 5,
(x - 7)(x - 5)=0
(5 - 7)(5 - 5)=0
(-2)(0) = 0
for x = 7,
(x - 7)(x - 5)=0
(7 - 7)(7 - 5)=0
(0)(2) = 0
I hop it helped.
Email me at sam_leylan@yahoo.com If you have anyother math questions.
2006-10-08 15:27:06
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answer #1
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answered by wormhole 2
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The solution is not difficult, but first let's back up and start from the beginning.
Usually you will be given an equation to solve for x.
it might be x^2 -12x+35=0
One way to solve this equation is to factor it.
If you do so you get (x-7)(x-5)=0
Now that you have arrived at these factors, what next?
Well, since both factors multiplied together equal zero, then either x-7=0, or x-5=0
So x is 7 or 5.
That is your solution .
x=7,5
2006-10-08 15:24:55
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answer #2
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answered by True Blue 6
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Maybe you should use a tiny bit of brain power. You have some, don't you? All the work is already done...
If you can't understand that the answers are 7 and 5, you are in trouble indeed.
There's nothing to "show": you just read the answer....
Let me put it very explicitly:
7-7=0 and 5-5=0.
Real hard I know! Real tough all that crazy math stuff!
2006-10-08 16:42:54
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answer #3
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answered by bluecloud23 2
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Set each term equal to 0.
x-7=0
x-5=0
Then solve each one.
x-7+7=0+7
x=7
x-5+5=0+5
x=5
2006-10-08 15:23:16
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answer #4
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answered by Anonymous
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since the equation equals 0, one or both of the factors on the left must equal zero
thus, x-7=0 or x-5-0
so x=7 or x=5
2006-10-08 15:18:09
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answer #5
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answered by Greg G 5
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Set each quantity to zero and solve for x.
x - 7 = 0
x = 7
Do the same for the other quantity.
x - 5 = 0
x = 5
Answers: {x = 5 and x = 7}
I hope this helps.
Guido
2006-10-08 15:18:12
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answer #6
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answered by Anonymous
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What do you mean by "solve"?
the roots are
x-7=0
x=7
&
x-5=0
x=5
if you want it multiplied use FOIL: 1st terms, x*x; outside terms, x*(-5); inside terms,
-7*x & last terms, -7*(-5)
(x - 7)(x - 5)=0
x^2-5x-7x+35=0
x^2-12x+35=0
2006-10-11 13:00:48
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answer #7
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answered by yupchagee 7
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(x - 7)(x - 5)=0
X^2-7X-5X+35=0
X^2-12X+35=0
The answer are
X=5,X=7
X^2-12X+35=0
(5)^2-12(5)+35=0
25-60+35=0
60-60=0 correct
X^2-12X+35=0
(7)^2-12(7)+35=0
49-84+35=0
84-84=0 correct
2006-10-08 15:23:47
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answer #8
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answered by safrodin 3
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In general if (x-a) (x-b) (x-c) (x-d) ......=0then x= a: b:c;d..... therefore now since (x-7)(x-5)=0 x= 7;5.
2006-10-08 20:12:00
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answer #9
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answered by **cutie** 2
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