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-8=a\times 0^{2}-16a
Subtract 1 from 1 to get 0.
-8=a\times 0-16a
Calculate 0 to the power of 2 and get 0.
-8=0-16a
Anything times zero gives zero.
-8=-16a
Anything plus zero gives itself.
-16a=-8
Swap sides so that all variable terms are on the left hand side.
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.