Solve for y
y=-x\left(5x+9\right)
Solve for x (complex solution)
x=\frac{\sqrt{81-20y}-9}{10}
x=\frac{-\sqrt{81-20y}-9}{10}
Solve for x
x=\frac{\sqrt{81-20y}-9}{10}
x=\frac{-\sqrt{81-20y}-9}{10}\text{, }y\leq \frac{81}{20}
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y-2y=5x^{2}+9x
Subtract 2y from both sides.
-y=5x^{2}+9x
Combine y and -2y to get -y.
\frac{-y}{-1}=\frac{x\left(5x+9\right)}{-1}
Divide both sides by -1.
y=\frac{x\left(5x+9\right)}{-1}
Dividing by -1 undoes the multiplication by -1.
y=-x\left(5x+9\right)
Divide x\left(9+5x\right) by -1.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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