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0=\frac{1}{2}\times 1-\left(-1\right)+c
Calculate -1 to the power of 2 and get 1.
0=\frac{1}{2}-\left(-1\right)+c
Multiply \frac{1}{2} and 1 to get \frac{1}{2}.
0=\frac{1}{2}+1+c
The opposite of -1 is 1.
0=\frac{1}{2}+\frac{2}{2}+c
Convert 1 to fraction \frac{2}{2}.
0=\frac{1+2}{2}+c
Since \frac{1}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.
0=\frac{3}{2}+c
Add 1 and 2 to get 3.
\frac{3}{2}+c=0
Swap sides so that all variable terms are on the left hand side.
c=-\frac{3}{2}
Subtract \frac{3}{2} from both sides. Anything subtracted from zero gives its negation.