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a\times 4^{2}+8=0
Subtract 2 from 6 to get 4.
a\times 16+8=0
Calculate 4 to the power of 2 and get 16.
a\times 16=-8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
a=\frac{-8}{16}
Divide both sides by 16.
a=-\frac{1}{2}
Reduce the fraction \frac{-8}{16} to lowest terms by extracting and canceling out 8.