Solve for x
x=-\frac{y\left(1-y\right)}{3}
Solve for y (complex solution)
y=\frac{-\sqrt{12x+1}+1}{2}
y=\frac{\sqrt{12x+1}+1}{2}
Solve for y
y=\frac{-\sqrt{12x+1}+1}{2}
y=\frac{\sqrt{12x+1}+1}{2}\text{, }x\geq -\frac{1}{12}
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3x=y^{2}-y
Subtract y from both sides.
\frac{3x}{3}=\frac{y\left(y-1\right)}{3}
Divide both sides by 3.
x=\frac{y\left(y-1\right)}{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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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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