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0x^{2}+1024x+0=0
Do the multiplications.
0+1024x+0=0
Anything times zero gives zero.
1024x=0
Add 0 and 0 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 1024 is not equal to 0, x must be equal to 0.