Yes, x can equal zero (0).
People ask this quite a bit. You are not alone, it maybe because of the misperception of "math is about 'numbers'." As a matter of fact, Math is about symbols, and operations on symbols. We define this symbol "=" to mean equality, but with out this definition, "=" is just a symbol.
Same as "x", "0" etc. They are all symbols, we conventionally give "0" a meaning. Now we want to give "x" one, even just temporarily. So we define x to be 0. But we mathematicians are lazy, probably the laziest creatures on earth, or even the universe, so we want short hands. So we said "hey! '=' means equality hey? It technically mean the same as define, why don't we just say ' x = 0' " (Reads x equals 0). Then there we go.
So it's just like giving these poor meaningless symbols a meaning, it's perfectly fine to let x = 0.
In some context though x cannot be 0, or something bad happens, but that's a different matter. It's the boring "number" aspect of Math.
(Sometimes, x HAS to be 0, but, again, it has to do with the context of x)
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10x=x 9x=0 x=0
If: 3x+y = 4 and x+y = 0 Then: x = 2 and y = -2
The period is the length of x over which the equation repeats itself. In this case, y=sin x delivers y=0 at x=0 at a gradient of 1. y next equals 0 when x equals pi, but at this point the gradient is minus 1. y next equals 0 when x equals 2pi, and at this point the gradient is 1 again. Therefore the period of y=sinx is 2pi.
x=4 y=0
The solution for cosec x equals 0 can be found by identifying the values of x where the cosecant function equals 0. Cosecant is the reciprocal of the sine function, so cosec x = 0 when sin x = 1/0 or sin x = undefined. This occurs at multiples of π, where the sine function crosses the x-axis. Therefore, the solutions for cosec x = 0 are x = nπ, where n is an integer.