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How many are you expecting ? How will you know if we give you all of them,

or only some of them ?

Since the highest power of the variable in the equation is '2', ("x2"),

the equation has exactly two solutions.

25x2 - 100 = 0

Divide each side by 25:

x2 - 4 = 0

Add 4 to each side:

x2 = 4

Take the square root of each side:

x = +4 and -4

And there are your two solutions.

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Q: What are some solutions to the equation 25x2-100 equals 0?
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