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Solve for x (complex solution)
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3x^{2}+4y=12
Multiply both sides of the equation by 12, the least common multiple of 4,3.
4y=12-3x^{2}
Subtract 3x^{2} from both sides.
\frac{4y}{4}=\frac{12-3x^{2}}{4}
Divide both sides by 4.
y=\frac{12-3x^{2}}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{3x^{2}}{4}+3
Divide -3x^{2}+12 by 4.