Solve for y
y=-4x\left(x-6\right)
Solve for x (complex solution)
x=\frac{\sqrt{36-y}}{2}+3
x=-\frac{\sqrt{36-y}}{2}+3
Solve for x
x=\frac{\sqrt{36-y}}{2}+3
x=-\frac{\sqrt{36-y}}{2}+3\text{, }y\leq 36
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9y-216x=-36x^{2}
Subtract 36x^{2} from both sides. Anything subtracted from zero gives its negation.
9y=-36x^{2}+216x
Add 216x to both sides.
9y=216x-36x^{2}
The equation is in standard form.
\frac{9y}{9}=\frac{36x\left(6-x\right)}{9}
Divide both sides by 9.
y=\frac{36x\left(6-x\right)}{9}
Dividing by 9 undoes the multiplication by 9.
y=4x\left(6-x\right)
Divide 36x\left(6-x\right) by 9.
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