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\cos(x)-a=-2x^{2}
Subtract 2x^{2} from both sides. Anything subtracted from zero gives its negation.
-a=-2x^{2}-\cos(x)
Subtract \cos(x) from both sides.
-a=-\cos(x)-2x^{2}
The equation is in standard form.
\frac{-a}{-1}=\frac{-\cos(x)-2x^{2}}{-1}
Divide both sides by -1.
a=\frac{-\cos(x)-2x^{2}}{-1}
Dividing by -1 undoes the multiplication by -1.
a=\cos(x)+2x^{2}
Divide -2x^{2}-\cos(x) by -1.