Solve for y
y=x\left(2x-7\right)
Solve for x (complex solution)
x=\frac{\sqrt{8y+49}+7}{4}
x=\frac{-\sqrt{8y+49}+7}{4}
Solve for x
x=\frac{\sqrt{8y+49}+7}{4}
x=\frac{-\sqrt{8y+49}+7}{4}\text{, }y\geq -\frac{49}{8}
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-y=7x-2x^{2}
Subtract 2x^{2} from both sides.
\frac{-y}{-1}=\frac{x\left(7-2x\right)}{-1}
Divide both sides by -1.
y=\frac{x\left(7-2x\right)}{-1}
Dividing by -1 undoes the multiplication by -1.
y=-x\left(7-2x\right)
Divide x\left(7-2x\right) by -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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