Solve for x
x=y^{2}-\frac{1}{3}
Solve for y (complex solution)
y=-\frac{\sqrt{9x+3}}{3}
y=\frac{\sqrt{9x+3}}{3}
Solve for y
y=\frac{\sqrt{9x+3}}{3}
y=-\frac{\sqrt{9x+3}}{3}\text{, }x\geq -\frac{1}{3}
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-3x=1-3y^{2}
Subtract 3y^{2} from both sides.
\frac{-3x}{-3}=\frac{1-3y^{2}}{-3}
Divide both sides by -3.
x=\frac{1-3y^{2}}{-3}
Dividing by -3 undoes the multiplication by -3.
x=y^{2}-\frac{1}{3}
Divide 1-3y^{2} 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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