Yes, I can explain why there are two solutions to the equation 2x^2 = 4.

When we take the square root of both sides of the equation x^2 = 2, we get:

|x| = √2

The absolute value symbol (|x|) indicates that the solution to the equation could be either positive or negative. This is because a positive number squared and a negative number squared both yield a positive result.

Therefore, there are two possible values of x that satisfy the equation 2x^2 = 4: x = √2 and x = -√2. Both values of x squared give a result of 2, which when multiplied by 2 gives 4.
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