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0x^{2}+8x+2=0
Multiply 0 and 5 to get 0.
0+8x+2=0
Anything times zero gives zero.
2+8x=0
Add 0 and 2 to get 2.
8x=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-2}{8}
Divide both sides by 8.
x=-\frac{1}{4}
Reduce the fraction \frac{-2}{8} to lowest terms by extracting and canceling out 2.