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Solve for y (complex solution)
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Solve for y
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Solve for x
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40xy=-20x^{2}
Subtract 20x^{2} from both sides. Anything subtracted from zero gives its negation.
\frac{40xy}{40x}=-\frac{20x^{2}}{40x}
Divide both sides by 40x.
y=-\frac{20x^{2}}{40x}
Dividing by 40x undoes the multiplication by 40x.
y=-\frac{x}{2}
Divide -20x^{2} by 40x.
40xy=-20x^{2}
Subtract 20x^{2} from both sides. Anything subtracted from zero gives its negation.
\frac{40xy}{40x}=-\frac{20x^{2}}{40x}
Divide both sides by 40x.
y=-\frac{20x^{2}}{40x}
Dividing by 40x undoes the multiplication by 40x.
y=-\frac{x}{2}
Divide -20x^{2} by 40x.