Solve for x
x=-\frac{y\left(4y-1\right)}{2}
Solve for y (complex solution)
y=\frac{\sqrt{1-32x}+1}{8}
y=\frac{-\sqrt{1-32x}+1}{8}
Solve for y
y=\frac{\sqrt{1-32x}+1}{8}
y=\frac{-\sqrt{1-32x}+1}{8}\text{, }x\leq \frac{1}{32}
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2x=y-4y^{2}
Subtract 4y^{2} from both sides.
\frac{2x}{2}=\frac{y\left(1-4y\right)}{2}
Divide both sides by 2.
x=\frac{y\left(1-4y\right)}{2}
Dividing by 2 undoes the multiplication by 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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