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12x=-\left(\sin(\alpha )\right)^{2}
Subtract \left(\sin(\alpha )\right)^{2} from both sides. Anything subtracted from zero gives its negation.
\frac{12x}{12}=-\frac{\left(\sin(\alpha )\right)^{2}}{12}
Divide both sides by 12.
x=-\frac{\left(\sin(\alpha )\right)^{2}}{12}
Dividing by 12 undoes the multiplication by 12.