-2х^2=0

To solve the equation -2x^2 = 0, we can factor out -2 from the left side of the equation:

-2(x^2) = 0

Now, we can apply the zero product property: If the product of two factors is zero, then at least one of the factors must be zero.

So, we set each factor equal to zero:

-2 = 0 or x^2 = 0

The equation -2 = 0 is not true, so we discard it.

Now, solving the equation x^2 = 0, we take the square root of both sides:

x = 0

Thus, the solution to the equation -2x^2 = 0 is x = 0.