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3x(x-8)=0
In order for two numbers to be multiplied together to equal zero,
one of them must be zero.
3x represents one number and (x-8) represents another number.
3x(x-8) says that the number 3x is multiplied by the number
represented by (x-8).
The =0 says that when those two numbers are multiplied you get 0.
Therefore one of them has to equal zero.
But which one is 0? Is it the 3x that equals 0 or the (x-8)?
We don't know. So there are two possibilities.
First possibility:
The 3x is the one that equals 0:
3x = 0
Divide both sides by 3
=
x = 0
That's one solution.
Second possibility:
The (x-8) is the one that equals 0:
(x-8) = 0
x - 8 = 0
x = 8
That's another solution.
So there are two solutions, 0 and 8
Edwin