Solve for y
y=\frac{-2x^{2}-4}{3}
Solve for x (complex solution)
x=-\frac{\sqrt{-6y-8}}{2}
x=\frac{\sqrt{-6y-8}}{2}
Solve for x
x=\frac{\sqrt{-6y-8}}{2}
x=-\frac{\sqrt{-6y-8}}{2}\text{, }y\leq -\frac{4}{3}
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3y+4=-2x^{2}
Subtract 2x^{2} from both sides. Anything subtracted from zero gives its negation.
3y=-2x^{2}-4
Subtract 4 from both sides.
\frac{3y}{3}=\frac{-2x^{2}-4}{3}
Divide both sides by 3.
y=\frac{-2x^{2}-4}{3}
Dividing by 3 undoes the multiplication by 3.
Examples
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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